38137300992 has 576 divisors, whose sum is σ = 135736473600. Its totient is φ = 10072719360.

The previous prime is 38137300963. The next prime is 38137301009. The reversal of 38137300992 is 29900373183.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115218267 + ... + 115218597.

It is an arithmetic number, because the mean of its divisors is an integer number (235653600).

Almost surely, 2^38137300992 is an apocalyptic number.

38137300992 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 38137300992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67868236800).

38137300992 is an abundant number, since it is smaller than the sum of its proper divisors (97599172608).

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

38137300992 is a wasteful number, since it uses less digits than its factorization.

38137300992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 38137300992 in words is "thirty-eight billion, one hundred thirty-seven million, three hundred thousand, nine hundred ninety-two".