38745676032 has 144 divisors (see below), whose sum is σ = 118037566080. Its totient is φ = 11052711936.

The previous prime is 38745676009. The next prime is 38745676043. The reversal of 38745676032 is 23067654783.

It is a super-2 number, since 2×38745676032² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3612694 + ... + 3623402.

It is an arithmetic number, because the mean of its divisors is an integer number (819705320).

Almost surely, 2^38745676032 is an apocalyptic number.

38745676032 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 38745676032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59018783040).

38745676032 is an abundant number, since it is smaller than the sum of its proper divisors (79291890048).

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

38745676032 is a wasteful number, since it uses less digits than its factorization.

38745676032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11408 (or 11394 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 38745676032 in words is "thirty-eight billion, seven hundred forty-five million, six hundred seventy-six thousand, thirty-two".