363036780 has 72 divisors (see below), whose sum is σ = 1104558000. Its totient is φ = 96515712.

The previous prime is 363036731. The next prime is 363036809. The reversal of 363036780 is 87630363.

363036780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59931 + ... + 65709.

Almost surely, 2^363036780 is an apocalyptic number.

363036780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363036780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552279000).

363036780 is an abundant number, since it is smaller than the sum of its proper divisors (741521220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

363036780 is a wasteful number, since it uses less digits than its factorization.

363036780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 363036780 is about 19053.5240834865. The cubic root of 363036780 is about 713.3733408914.

The spelling of 363036780 in words is "three hundred sixty-three million, thirty-six thousand, seven hundred eighty".