I will start by letting you know I have had 4 kids with 4 pregnancies. YES, it is normal. With being 37 weeks the baby does nothing but grow weight for about the last month. Mine liked to hang out under my ribs, witch is uncomfortable and makes it hard to breathe. This was also the time I had the worst hot flashes, they lasted a couple months. It was also the time when I kicked hubby away from me because I was just so hot and uncomfortable and him touching me made it worse. Pretty soon the baby will be here and you will start to get back to normal. This was always the time I felt like I would be pregnant forever.