38137138944 has 144 divisors (see below), whose sum is σ = 104217117312. Its totient is φ = 12374175744.

The previous prime is 38137138933. The next prime is 38137138967. The reversal of 38137138944 is 44983173183.

It is a happy number.

It is a super-2 number, since 2×38137138944² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10466787 + ... + 10470429.

Almost surely, 2^38137138944 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 38137138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52108558656).

38137138944 is an abundant number, since it is smaller than the sum of its proper divisors (66079978368).

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

38137138944 is a wasteful number, since it uses less digits than its factorization.

38137138944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4008 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 38137138944 in words is "thirty-eight billion, one hundred thirty-seven million, one hundred thirty-eight thousand, nine hundred forty-four".