I read somewhere that temps are much lower in the middle of the night and rise more quickly as the end of sleep comes around or when you're awake. It rises approx 0.1 of a degree for each half hour, but quicker when you wake. Yesterday mine was down to 96.8; took it an hour later after staying awake, up to 97.1!
If you woke at 3am, your body could be totally stunned and still be in its sleep mode, hence why so low. Your later one sounds ok though, Not too high or low. If going by the expected rise, three and a half hours later would set your temp to be around 35.7, plus the fact you were awake not long ago. 36.1 sounds about right to me
xx (mine was the same as yours this morning, up 0.7 from yesterday!).
xxx