363 is the sum of 5 consecutive powers of three (3 + 9 + 27 + 81 + 243) deficient number.
363 cubits is the solution given to Rhind Mathematical Papyrus question 50 - find the side length of an octagon with the same area as a circle 9 khet in diameter [1].
In other fields
The years AD 363 (in base 35 written AD AD) and 363 BC (in base 32 written BB BC).