38509535232 has 672 divisors, whose sum is σ = 137397012480. Its totient is φ = 10156769280.

The previous prime is 38509535231. The next prime is 38509535297. The reversal of 38509535232 is 23253590583.

38509535232 is a `hidden beast` number, since 3 + 85 + 0 + 9 + 535 + 2 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38509535231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463970263 + ... + 463970345.

It is an arithmetic number, because the mean of its divisors is an integer number (204459840).

Almost surely, 2^38509535232 is an apocalyptic number.

38509535232 is a gapful number since it is divisible by the number (32) 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 38509535232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68698506240).

38509535232 is an abundant number, since it is smaller than the sum of its proper divisors (98887477248).

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

38509535232 is a wasteful number, since it uses less digits than its factorization.

38509535232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 38509535232 in words is "thirty-eight billion, five hundred nine million, five hundred thirty-five thousand, two hundred thirty-two".