38631013120 has 144 divisors (see below), whose sum is σ = 107749051200. Its totient is φ = 12994854912.

The previous prime is 38631013097. The next prime is 38631013121. The reversal of 38631013120 is 2131013683.

38631013120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38631013120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (38631013121) 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, 434206 + ... + 515554.

It is an arithmetic number, because the mean of its divisors is an integer number (748257300).

Almost surely, 2^38631013120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38631013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53874525600).

38631013120 is an abundant number, since it is smaller than the sum of its proper divisors (69118038080).

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

38631013120 is an equidigital number, since it uses as much as digits as its factorization.

38631013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81430 (or 81416 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 38631013120 in words is "thirty-eight billion, six hundred thirty-one million, thirteen thousand, one hundred twenty".