38615314560 has 256 divisors, whose sum is σ = 129310801920. Its totient is φ = 9782784000.

The previous prime is 38615314541. The next prime is 38615314567. The reversal of 38615314560 is 6541351683.

It is a super-2 number, since 2×38615314560² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38615314567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6665265 + ... + 6671055.

It is an arithmetic number, because the mean of its divisors is an integer number (505120320).

Almost surely, 2^38615314560 is an apocalyptic number.

38615314560 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 38615314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64655400960).

38615314560 is an abundant number, since it is smaller than the sum of its proper divisors (90695487360).

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

38615314560 is a wasteful number, since it uses less digits than its factorization.

38615314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5975 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 38615314560 in words is "thirty-eight billion, six hundred fifteen million, three hundred fourteen thousand, five hundred sixty".