38079464976 has 480 divisors, whose sum is σ = 136379842560. Its totient is φ = 9662754816.

The previous prime is 38079464923. The next prime is 38079465013. The reversal of 38079464976 is 67946497083.

38079464976 is a `hidden beast` number, since 3 + 80 + 7 + 9 + 464 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31135501 + ... + 31136723.

It is an arithmetic number, because the mean of its divisors is an integer number (284124672).

Almost surely, 2^38079464976 is an apocalyptic number.

38079464976 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 38079464976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68189921280).

38079464976 is an abundant number, since it is smaller than the sum of its proper divisors (98300377584).

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

38079464976 is a wasteful number, since it uses less digits than its factorization.

38079464976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 38079464976 in words is "thirty-eight billion, seventy-nine million, four hundred sixty-four thousand, nine hundred seventy-six".