38813658432 has 112 divisors (see below), whose sum is σ = 108471370560. Its totient is φ = 12214775808.

The previous prime is 38813658431. The next prime is 38813658479. The reversal of 38813658432 is 23485631883.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38813658431) 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, 1050708 + ... + 1087020.

It is an arithmetic number, because the mean of its divisors is an integer number (968494380).

Almost surely, 2^38813658432 is an apocalyptic number.

38813658432 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 38813658432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54235685280).

38813658432 is an abundant number, since it is smaller than the sum of its proper divisors (69657712128).

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

38813658432 is a wasteful number, since it uses less digits than its factorization.

38813658432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36640 (or 36630 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The spelling of 38813658432 in words is "thirty-eight billion, eight hundred thirteen million, six hundred fifty-eight thousand, four hundred thirty-two".