38904772192 has 192 divisors, whose sum is σ = 92718210816. Its totient is φ = 15833180160.

The previous prime is 38904772189. The next prime is 38904772199. The reversal of 38904772192 is 29127740983.

38904772192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38904772192² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38904772199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32072578 + ... + 32073790.

It is an arithmetic number, because the mean of its divisors is an integer number (482907348).

Almost surely, 2^38904772192 is an apocalyptic number.

38904772192 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 38904772192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46359105408).

38904772192 is an abundant number, since it is smaller than the sum of its proper divisors (53813438624).

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

38904772192 is a wasteful number, since it uses less digits than its factorization.

38904772192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 38904772192 in words is "thirty-eight billion, nine hundred four million, seven hundred seventy-two thousand, one hundred ninety-two".