381856320 has 84 divisors (see below), whose sum is σ = 1313436540. Its totient is φ = 101827584.

The previous prime is 381856289. The next prime is 381856337. The reversal of 381856320 is 23658183.

381856320 is a `hidden beast` number, since 3 + 8 + 18 + 5 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 179989056 + 201867264 = 13416^2 + 14208^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63415 + ... + 69174.

Almost surely, 2^381856320 is an apocalyptic number.

381856320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381856320 is an abundant number, since it is smaller than the sum of its proper divisors (931580220).

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

381856320 is a wasteful number, since it uses less digits than its factorization.

381856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132612 (or 132599 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 381856320 is about 19541.1442858396. The cubic root of 381856320 is about 725.4931690121.

The spelling of 381856320 in words is "three hundred eighty-one million, eight hundred fifty-six thousand, three hundred twenty".