Index: Lib/test/test_os.py
===================================================================
--- Lib/test/test_os.py	(revision 87653)
+++ Lib/test/test_os.py	(working copy)
@@ -365,6 +365,11 @@
                 os.utime(self.fname, (t1, t1))
                 self.assertEqual(os.stat(self.fname).st_mtime, t1)
 
+            def test_large_utime(self):
+                t1 = 5000000000 # some day in 2128
+                os.utime(self.fname, (t1, t1))
+                self.assertEqual(os.stat(self.fname).st_mtime, t1)
+
         def test_1686475(self):
             # Verify that an open file can be stat'ed
             try:
Index: Modules/posixmodule.c
===================================================================
--- Modules/posixmodule.c	(revision 87653)
+++ Modules/posixmodule.c	(working copy)
@@ -976,18 +976,18 @@
     int st_gid;
     int st_rdev;
     __int64 st_size;
-    int st_atime;
+    time_t st_atime;
     int st_atime_nsec;
-    int st_mtime;
+    time_t st_mtime;
     int st_mtime_nsec;
-    int st_ctime;
+    time_t st_ctime;
     int st_ctime_nsec;
 };
 
 static __int64 secs_between_epochs = 11644473600; /* Seconds between 1.1.1601 and 1.1.1970 */
 
 static void
-FILE_TIME_to_time_t_nsec(FILETIME *in_ptr, int *time_out, int* nsec_out)
+FILE_TIME_to_time_t_nsec(FILETIME *in_ptr, time_t *time_out, int* nsec_out)
 {
     /* XXX endianness. Shouldn't matter, as all Windows implementations are little-endian */
     /* Cannot simply cast and dereference in_ptr,
@@ -995,12 +995,11 @@
     __int64 in;
     memcpy(&in, in_ptr, sizeof(in));
     *nsec_out = (int)(in % 10000000) * 100; /* FILETIME is in units of 100 nsec. */
-    /* XXX Win32 supports time stamps past 2038; we currently don't */
-    *time_out = Py_SAFE_DOWNCAST((in / 10000000) - secs_between_epochs, __int64, int);
+    *time_out = Py_SAFE_DOWNCAST((in / 10000000) - secs_between_epochs, __int64, time_t);
 }
 
 static void
-time_t_to_FILE_TIME(int time_in, int nsec_in, FILETIME *out_ptr)
+time_t_to_FILE_TIME(time_t time_in, int nsec_in, FILETIME *out_ptr)
 {
     /* XXX endianness */
     __int64 out;
@@ -3138,15 +3137,19 @@
 #endif /* HAVE_UNAME */
 
 static int
-extract_time(PyObject *t, long* sec, long* usec)
+extract_time(PyObject *t, time_t* sec, long* usec)
 {
-    long intval;
+    time_t intval;
     if (PyFloat_Check(t)) {
         double tval = PyFloat_AsDouble(t);
-        PyObject *intobj = Py_TYPE(t)->tp_as_number->nb_int(t);
+        PyObject *intobj = PyNumber_Long(t);
         if (!intobj)
             return -1;
+#if SIZEOF_TIME_T > SIZEOF_LONG
+        intval = PyLong_AsUnsignedLongLongMask(intobj);
+#else
         intval = PyLong_AsLong(intobj);
+#endif
         Py_DECREF(intobj);
         if (intval == -1 && PyErr_Occurred())
             return -1;
@@ -3158,7 +3161,11 @@
             *usec = 0;
         return 0;
     }
+#if SIZEOF_TIME_T > SIZEOF_LONG
+    intval = PyLong_AsUnsignedLongLongMask(t);
+#else
     intval = PyLong_AsLong(t);
+#endif
     if (intval == -1 && PyErr_Occurred())
         return -1;
     *sec = intval;
@@ -3182,7 +3189,8 @@
     PyObject *oapath;
     char *apath;
     HANDLE hFile;
-    long atimesec, mtimesec, ausec, musec;
+    time_t atimesec, mtimesec;
+    long ausec, musec;
     FILETIME atime, mtime;
     PyObject *result = NULL;
 
@@ -3258,7 +3266,8 @@
 
     PyObject *opath;
     char *path;
-    long atime, mtime, ausec, musec;
+    time_t atime, mtime;
+    long ausec, musec;
     int res;
     PyObject* arg;