38310104832 has 72 divisors (see below), whose sum is σ = 102042366720. Its totient is φ = 12759813120.

The previous prime is 38310104827. The next prime is 38310104837. The reversal of 38310104832 is 23840101383.

38310104832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38310104827) and next prime (38310104837).

It is a junction number, because it is equal to n+sod(n) for n = 38310104793 and 38310104802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38310104837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 972169 + ... + 1010807.

Almost surely, 2^38310104832 is an apocalyptic number.

38310104832 is a gapful number since it is divisible by the number (32) 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 38310104832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51021183360).

38310104832 is an abundant number, since it is smaller than the sum of its proper divisors (63732261888).

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

38310104832 is a wasteful number, since it uses less digits than its factorization.

38310104832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39949 (or 39935 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 38310104832 in words is "thirty-eight billion, three hundred ten million, one hundred four thousand, eight hundred thirty-two".