38285768160 has 72 divisors (see below), whose sum is σ = 130650188760. Its totient is φ = 10209537792.

The previous prime is 38285768137. The next prime is 38285768173. The reversal of 38285768160 is 6186758283.

38285768160 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 576 + 8 + 1 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 38285768097 and 38285768106.

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, 13292230 + ... + 13295109.

It is an arithmetic number, because the mean of its divisors is an integer number (1814585955).

Almost surely, 2^38285768160 is an apocalyptic number.

38285768160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38285768160 is an abundant number, since it is smaller than the sum of its proper divisors (92364420600).

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

38285768160 is a wasteful number, since it uses less digits than its factorization.

38285768160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26587360 (or 26587349 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 38285768160 in words is "thirty-eight billion, two hundred eighty-five million, seven hundred sixty-eight thousand, one hundred sixty".