38065725864 has 144 divisors (see below), whose sum is σ = 110344122720. Its totient is φ = 11850874560.

The previous prime is 38065725851. The next prime is 38065725869. The reversal of 38065725864 is 46852756083.

38065725864 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 57 + 2 + 586 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38065725864.

It is not an unprimeable number, because it can be changed into a prime (38065725869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1835119 + ... + 1855745.

It is an arithmetic number, because the mean of its divisors is an integer number (766278630).

Almost surely, 2^38065725864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38065725864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55172061360).

38065725864 is an abundant number, since it is smaller than the sum of its proper divisors (72278396856).

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

38065725864 is a wasteful number, since it uses less digits than its factorization.

38065725864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20748 (or 20722 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 38065725864 in words is "thirty-eight billion, sixty-five million, seven hundred twenty-five thousand, eight hundred sixty-four".