38956676976 has 480 divisors, whose sum is σ = 134547578880. Its totient is φ = 10754021376.

The previous prime is 38956676963. The next prime is 38956676977. The reversal of 38956676976 is 67967665983.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38956676977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115598280 + ... + 115598616.

It is an arithmetic number, because the mean of its divisors is an integer number (280307456).

Almost surely, 2^38956676976 is an apocalyptic number.

38956676976 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 38956676976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67273789440).

38956676976 is an abundant number, since it is smaller than the sum of its proper divisors (95590901904).

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

38956676976 is a wasteful number, since it uses less digits than its factorization.

38956676976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 519 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 72.

The spelling of 38956676976 in words is "thirty-eight billion, nine hundred fifty-six million, six hundred seventy-six thousand, nine hundred seventy-six".