I'm 32wks&2Days & I can't sleep at all only an hour or two. But once morning hits I eat breakfast & go to sleep until 12pm or so.
Im 35+1 and have been having the same problem all week. It's my 4th and the same thing happened with the others. I can't sleep for more than about 2 hours at a time. Just get sleep whenever you can. I tend to look at it as preparation for the broken sleep when the baby arrives!