Full term at 37 weeks or 39 weeks?

Mary • 27, from Utah, I have one 2 yr old son and a baby on the way!
My doc tells me I won't be full term till I'm 39 weeks but this app tells me I'm full term today (37 weeks). So I'm confused... if I happened to have my baby today would she be considered a preemie or not? My doc also tells me they can induce me up to 8 days early, which I thought was crazy! I didn't know they could or would do that without a medical issue involved. I was just thinkin maybe I could be induced like 2 days early sense I live over an hour from the hospital.. but now we get to pick any day up to 8 days early! (As long as I'm dialing and effacing normally) I think we've decided to do it just 4 days early tho. 8 days early feels too soon! Haha. I hope my cervix cooperates tho.. with my first baby it wouldn't dilate or efface even after they induced me! Didn't start moving along till they broke my water.