381857938560 has 1536 divisors, whose sum is σ = 1701311040000. Its totient is φ = 76823396352.

The previous prime is 381857938559. The next prime is 381857938591. The reversal of 381857938560 is 65839758183.

381857938560 is a `hidden beast` number, since 3 + 8 + 1 + 8 + 579 + 3 + 8 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1419546106 + ... + 1419546374.

It is an arithmetic number, because the mean of its divisors is an integer number (1107624375).

Almost surely, 2^381857938560 is an apocalyptic number.

381857938560 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 381857938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850655520000).

381857938560 is an abundant number, since it is smaller than the sum of its proper divisors (1319453101440).

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

381857938560 is a wasteful number, since it uses less digits than its factorization.

381857938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 381857938560 in words is "three hundred eighty-one billion, eight hundred fifty-seven million, nine hundred thirty-eight thousand, five hundred sixty".