I had a little one born at 38+2 and my little one now is 3 weeks and was born at 36 weeks. I think it can really depend. My boy was a really good size (nearly 7 pound) for gestation and didn't require any special care which was a possibility. I think I do cook them up faster though.
There is a difference I noticed. My little one has a weaker suck than his sister did. He was also sleepier and had to be woken up for feeds. They both to some extent acted a little premmie (my earlier one more so) and it was work to get the jaundice out of them (they were borderline and almost required lights), get feeding and weight gain established. Some of it may be specific to me too.
So I think feeding, temperature regulation, sleeping/sleepiness are the main ones. I had to be more proactive and it was more work. I ended up giving some bottles as he was a bit worn out with feeding and was often too tired... so expressing and even some formula top up (my supply struggled to begin with). Lots of doctor's check ups in the first few weeks too (because we were out of hospital).
Apart from that, he is doing incredibly well and doesn't have the usual premmie hurdles to get over. Most of the challenges he had were very short term. I feel very blessed as doctors had prepared us for his arrival at 24 weeks after waters were leaking. So relieved to have held out so long. Premmies and their parents have a rough road and I really admire them