I got a size US4 (EU 36). I typically wear a size 4, sometimes size 2. Since I live in a hot climate, I didn't feel the need to size up to fit bulky sweaters, and I think this is a good fit. There's a little extra room, but probably not enough for a thick sweater. There's just the two pockets on the side (no inner pocket). It is a nice weight and tidy construction.
I think I'm going to keep the coat. The only two that I liked that were somewhat reasonable in price were Sezane and JCrew, and the JCrew one is just as expensive.