381637920 has 48 divisors (see below), whose sum is σ = 1202160960. Its totient is φ = 101769984.

The previous prime is 381637903. The next prime is 381637937. The reversal of 381637920 is 29736183.

It is an interprime number because it is at equal distance from previous prime (381637903) and next prime (381637937).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397060 + ... + 398019.

It is an arithmetic number, because the mean of its divisors is an integer number (25045020).

Almost surely, 2^381637920 is an apocalyptic number.

381637920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381637920 is an abundant number, since it is smaller than the sum of its proper divisors (820523040).

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

381637920 is a wasteful number, since it uses less digits than its factorization.

381637920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795097 (or 795089 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 381637920 is about 19535.5552774934. Note that the first 3 decimals coincide. The cubic root of 381637920 is about 725.3548290859.

The spelling of 381637920 in words is "three hundred eighty-one million, six hundred thirty-seven thousand, nine hundred twenty".