This is super weird and concerning behaviour, at 36 weeks all bets are off really baby could come at any time and he's just... not around? I'd be asking him wtf he thinks he's playing at?
Do you live together? I'd be fuming, and we'd be having a very serious talk. He is either struggling with his impending fatherhood, in which case he needs to communicate, and he needs to communicate now and effectively, or he has left the relationship, inwhich case leave him and get court ordered custody and child support. Like his behaviour is so unacceptable it's ridiculous and you aren't reaching strongly enough. Congratulations on bubba, by the way.
Do you think the reality of being a father is hitting him? Maybe it isn’t you he is avoiding but the situation? Just a thought..