38656460674624 has 189 divisors, whose sum is σ = 83768290679619. Its totient is φ = 17691329710080.

The previous prime is 38656460674609. The next prime is 38656460674639. The reversal of 38656460674624 is 42647606465683.

It is a happy number.

The square root of 38656460674624 is 6217432.

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

It is an interprime number because it is at equal distance from previous prime (38656460674609) and next prime (38656460674639).

It can be written as a sum of positive squares in 4 ways, for example, as 30579041948224 + 8077418726400 = 5529832^2 + 2842080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38656460674624.

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, 123503069092 + ... + 123503069404.

Almost surely, 2^{38656460674624} is an apocalyptic number.

38656460674624 is the 6217432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38656460674624

38656460674624 is an abundant number, since it is smaller than the sum of its proper divisors (45111830004995).

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

38656460674624 is an frugal number, since it uses more digits than its factorization.

38656460674624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 67.

The spelling of 38656460674624 in words is "thirty-eight trillion, six hundred fifty-six billion, four hundred sixty million, six hundred seventy-four thousand, six hundred twenty-four".