38125021176 has 192 divisors, whose sum is σ = 113902588800. Its totient is φ = 11424441600.

The previous prime is 38125021171. The next prime is 38125021177. The reversal of 38125021176 is 67112052183.

38125021176 is a `hidden beast` number, since 3 + 81 + 2 + 502 + 1 + 1 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38125021176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38125021171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43471650 + ... + 43472526.

It is an arithmetic number, because the mean of its divisors is an integer number (593242650).

Almost surely, 2^38125021176 is an apocalyptic number.

38125021176 is a gapful number since it is divisible by the number (36) 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 38125021176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56951294400).

38125021176 is an abundant number, since it is smaller than the sum of its proper divisors (75777567624).

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

38125021176 is a wasteful number, since it uses less digits than its factorization.

38125021176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 38125021176 in words is "thirty-eight billion, one hundred twenty-five million, twenty-one thousand, one hundred seventy-six".