38925353376 has 288 divisors, whose sum is σ = 139141836288. Its totient is φ = 10047283200.

The previous prime is 38925353351. The next prime is 38925353377. The reversal of 38925353376 is 67335352983.

It is a happy number.

38925353376 is a `hidden beast` number, since 3 + 8 + 9 + 2 + 535 + 33 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (38925353377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1215976 + ... + 1247576.

It is an arithmetic number, because the mean of its divisors is an integer number (483131376).

Almost surely, 2^38925353376 is an apocalyptic number.

38925353376 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 38925353376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69570918144).

38925353376 is an abundant number, since it is smaller than the sum of its proper divisors (100216482912).

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

38925353376 is a wasteful number, since it uses less digits than its factorization.

38925353376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31684 (or 31673 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 54.

The spelling of 38925353376 in words is "thirty-eight billion, nine hundred twenty-five million, three hundred fifty-three thousand, three hundred seventy-six".