381957120 has 264 divisors, whose sum is σ = 1376959584. Its totient is φ = 101523456.

The previous prime is 381957077. The next prime is 381957137. The reversal of 381957120 is 21759183.

381957120 is a `hidden beast` number, since 3 + 81 + 9 + 571 + 2 + 0 = 666.

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

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, 1244007 + ... + 1244313.

It is an arithmetic number, because the mean of its divisors is an integer number (5215756).

Almost surely, 2^381957120 is an apocalyptic number.

381957120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688479792).

381957120 is an abundant number, since it is smaller than the sum of its proper divisors (995002464).

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

381957120 is an equidigital number, since it uses as much as digits as its factorization.

381957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 381957120 is about 19543.7232890767. The cubic root of 381957120 is about 725.5570004183.

The spelling of 381957120 in words is "three hundred eighty-one million, nine hundred fifty-seven thousand, one hundred twenty".