38717645824 has 297 divisors, whose sum is σ = 94312919169. Its totient is φ = 15867371520.

The previous prime is 38717645801. The next prime is 38717645851. The reversal of 38717645824 is 42854671783.

The square root of 38717645824 is 196768.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5727462400 + 32990183424 = 75680^2 + 181632^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 900410347 + ... + 900410389.

Almost surely, 2^38717645824 is an apocalyptic number.

38717645824 is the 196768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38717645824

38717645824 is an abundant number, since it is smaller than the sum of its proper divisors (55595273345).

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

38717645824 is a wasteful number, since it uses less digits than its factorization.

38717645824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 69 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 55.

The spelling of 38717645824 in words is "thirty-eight billion, seven hundred seventeen million, six hundred forty-five thousand, eight hundred twenty-four".