Sweating (Only at Night)

I'm 35 weeks pregnant and have started sweating profusely at night. I run warm, but haven't had any issues with this until about two nights ago. I can do just about anything during the day, but I wake up soaked at night. I feel like I've put a shirt on straight out of the shower. Our thermostat is set to 66 throughout the day and night so I doubt it has anything to do with that. Anyone else dealing or that has dealt with this have any thoughts or advice? Oh and I've also been pretty nauseous at night for the past couple days as well, which is new.