38130524160 has 224 divisors, whose sum is σ = 124034775552. Its totient is φ = 9999482880.

The previous prime is 38130524147. The next prime is 38130524161. The reversal of 38130524160 is 6142503183.

It is not an unprimeable number, because it can be changed into a prime (38130524161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7493137 + ... + 7498223.

Almost surely, 2^38130524160 is an apocalyptic number.

38130524160 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 38130524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62017387776).

38130524160 is an abundant number, since it is smaller than the sum of its proper divisors (85904251392).

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

38130524160 is an equidigital number, since it uses as much as digits as its factorization.

38130524160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5182 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 38130524160 in words is "thirty-eight billion, one hundred thirty million, five hundred twenty-four thousand, one hundred sixty".