38507954976 has 288 divisors, whose sum is σ = 118554928128. Its totient is φ = 11821455360.

The previous prime is 38507954963. The next prime is 38507954983. The reversal of 38507954976 is 67945970583.

38507954976 is a `hidden beast` number, since 3 + 8 + 50 + 7 + 95 + 497 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56879950 + ... + 56880626.

It is an arithmetic number, because the mean of its divisors is an integer number (411649056).

Almost surely, 2^38507954976 is an apocalyptic number.

38507954976 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 38507954976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59277464064).

38507954976 is an abundant number, since it is smaller than the sum of its proper divisors (80046973152).

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

38507954976 is a wasteful number, since it uses less digits than its factorization.

38507954976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 38507954976 in words is "thirty-eight billion, five hundred seven million, nine hundred fifty-four thousand, nine hundred seventy-six".