38640020832 has 72 divisors (see below), whose sum is σ = 125580074256. Its totient is φ = 11040005376.

The previous prime is 38640020801. The next prime is 38640020849. The reversal of 38640020832 is 23802004683.

38640020832 is a `hidden beast` number, since 3 + 8 + 640 + 0 + 2 + 0 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9581323 + ... + 9585354.

It is an arithmetic number, because the mean of its divisors is an integer number (1744167698).

Almost surely, 2^38640020832 is an apocalyptic number.

38640020832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38640020832 is an abundant number, since it is smaller than the sum of its proper divisors (86940053424).

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

38640020832 is a wasteful number, since it uses less digits than its factorization.

38640020832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19166700 (or 19166689 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 38640020832 in words is "thirty-eight billion, six hundred forty million, twenty thousand, eight hundred thirty-two".