383938800 has 120 divisors (see below), whose sum is σ = 1405612416. Its totient is φ = 87755520.

The previous prime is 383938781. The next prime is 383938843. The reversal of 383938800 is 8839383.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 14454 + ... + 31253.

Almost surely, 2^383938800 is an apocalyptic number.

383938800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

383938800 is an abundant number, since it is smaller than the sum of its proper divisors (1021673616).

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

383938800 is a wasteful number, since it uses less digits than its factorization.

383938800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45735 (or 45724 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 383938800 is about 19594.3563303314. The cubic root of 383938800 is about 726.8096212687.

The spelling of 383938800 in words is "three hundred eighty-three million, nine hundred thirty-eight thousand, eight hundred".