38117016576 has 264 divisors, whose sum is σ = 113781184920. Its totient is φ = 12283674624.

The previous prime is 38117016551. The next prime is 38117016617. The reversal of 38117016576 is 67561071183.

38117016576 is a `hidden beast` number, since 3 + 8 + 1 + 1 + 70 + 1 + 6 + 576 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9569534976 + 28547481600 = 97824^2 + 168960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35656170 + ... + 35657238.

Almost surely, 2^38117016576 is an apocalyptic number.

38117016576 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 38117016576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56890592460).

38117016576 is an abundant number, since it is smaller than the sum of its proper divisors (75664168344).

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

38117016576 is a wasteful number, since it uses less digits than its factorization.

38117016576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 38117016576 in words is "thirty-eight billion, one hundred seventeen million, sixteen thousand, five hundred seventy-six".