38137844160 has 336 divisors, whose sum is σ = 143593413600. Its totient is φ = 9233326080.

The previous prime is 38137844153. The next prime is 38137844177. The reversal of 38137844160 is 6144873183.

38137844160 is a `hidden beast` number, since 3 + 81 + 3 + 78 + 441 + 60 = 666.

It is a super-2 number, since 2×38137844160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 2275491 + ... + 2292189.

It is an arithmetic number, because the mean of its divisors is an integer number (427361350).

Almost surely, 2^38137844160 is an apocalyptic number.

38137844160 is a gapful number since it is divisible by the number (30) 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 38137844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71796706800).

38137844160 is an abundant number, since it is smaller than the sum of its proper divisors (105455569440).

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

38137844160 is a wasteful number, since it uses less digits than its factorization.

38137844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16796 (or 16783 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 38137844160 in words is "thirty-eight billion, one hundred thirty-seven million, eight hundred forty-four thousand, one hundred sixty".