38328392529000 has 768 divisors, whose sum is σ = 154927321436160. Its totient is φ = 8361999360000.

The previous prime is 38328392528953. The next prime is 38328392529019. The reversal of 38328392529000 is 92529382383.

38328392529000 is a `hidden beast` number, since 3 + 8 + 3 + 28 + 3 + 92 + 529 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142434580 + ... + 142703420.

It is an arithmetic number, because the mean of its divisors is an integer number (201728283120).

Almost surely, 2^{38328392529000} is an apocalyptic number.

38328392529000 is a gapful number since it is divisible by the number (30) 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 38328392529000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77463660718080).

38328392529000 is an abundant number, since it is smaller than the sum of its proper divisors (116598928907160).

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

38328392529000 is a wasteful number, since it uses less digits than its factorization.

38328392529000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268979 (or 268962 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 38328392529000 in words is "thirty-eight trillion, three hundred twenty-eight billion, three hundred ninety-two million, five hundred twenty-nine thousand".