368953920 has 112 divisors (see below), whose sum is σ = 1301617920. Its totient is φ = 98385408.

The previous prime is 368953919. The next prime is 368953939. The reversal of 368953920 is 29359863.

368953920 is a `hidden beast` number, since 36 + 89 + 539 + 2 + 0 = 666.

It is a super-2 number, since 2×368953920² = 272253990166732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 12712 + ... + 29991.

Almost surely, 2^368953920 is an apocalyptic number.

368953920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

368953920 is an abundant number, since it is smaller than the sum of its proper divisors (932664000).

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

368953920 is a wasteful number, since it uses less digits than its factorization.

368953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42729 (or 42713 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 368953920 is about 19208.1732603598. The cubic root of 368953920 is about 717.2282321691.

The spelling of 368953920 in words is "three hundred sixty-eight million, nine hundred fifty-three thousand, nine hundred twenty".