38410827264 has 480 divisors, whose sum is σ = 124116056064. Its totient is φ = 11824496640.

The previous prime is 38410827239. The next prime is 38410827271. The reversal of 38410827264 is 46272801483.

It is a happy number.

38410827264 is a `hidden beast` number, since 38 + 410 + 82 + 72 + 64 = 666.

It is a super-3 number, since 3×38410827264³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 88708392 + ... + 88708824.

Almost surely, 2^38410827264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38410827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62058028032).

38410827264 is an abundant number, since it is smaller than the sum of its proper divisors (85705228800).

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

38410827264 is an equidigital number, since it uses as much as digits as its factorization.

38410827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 38410827264 in words is "thirty-eight billion, four hundred ten million, eight hundred twenty-seven thousand, two hundred sixty-four".