38113810560 has 384 divisors, whose sum is σ = 155270568960. Its totient is φ = 8430428160.

The previous prime is 38113810487. The next prime is 38113810661. The reversal of 38113810560 is 6501831183.

38113810560 is a `hidden beast` number, since 3 + 8 + 1 + 13 + 81 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1234674 + ... + 1265166.

It is an arithmetic number, because the mean of its divisors is an integer number (404350440).

Almost surely, 2^38113810560 is an apocalyptic number.

38113810560 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 38113810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77635284480).

38113810560 is an abundant number, since it is smaller than the sum of its proper divisors (117156758400).

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

38113810560 is a wasteful number, since it uses less digits than its factorization.

38113810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30556 (or 30541 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 38113810560 in words is "thirty-eight billion, one hundred thirteen million, eight hundred ten thousand, five hundred sixty".