363539904 has 112 divisors (see below), whose sum is σ = 1183891968. Its totient is φ = 95874048.

The previous prime is 363539893. The next prime is 363539921. The reversal of 363539904 is 409935363.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×363539904² = 264322523600658432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7069 + ... + 27875.

It is an arithmetic number, because the mean of its divisors is an integer number (10570464).

Almost surely, 2^363539904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363539904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591945984).

363539904 is an abundant number, since it is smaller than the sum of its proper divisors (820352064).

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

363539904 is a wasteful number, since it uses less digits than its factorization.

363539904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20842 (or 20832 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 42.

The square root of 363539904 is about 19066.7224241609. The cubic root of 363539904 is about 713.7027377937.

The spelling of 363539904 in words is "three hundred sixty-three million, five hundred thirty-nine thousand, nine hundred four".