38582914032 has 320 divisors, whose sum is σ = 122223427200. Its totient is φ = 11725959168.

The previous prime is 38582914001. The next prime is 38582914033. The reversal of 38582914032 is 23041928583.

38582914032 is a `hidden beast` number, since 3 + 85 + 82 + 91 + 403 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38582914033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40485268 + ... + 40486220.

It is an arithmetic number, because the mean of its divisors is an integer number (381948210).

Almost surely, 2^38582914032 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 38582914032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61111713600).

38582914032 is an abundant number, since it is smaller than the sum of its proper divisors (83640513168).

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

38582914032 is an equidigital number, since it uses as much as digits as its factorization.

38582914032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38582914032 in words is "thirty-eight billion, five hundred eighty-two million, nine hundred fourteen thousand, thirty-two".