38542644864 has 192 divisors, whose sum is σ = 121825454400. Its totient is φ = 11642019840.

The previous prime is 38542644779. The next prime is 38542644913. The reversal of 38542644864 is 46844624583.

It is a happy number.

38542644864 is a `hidden beast` number, since 38 + 542 + 6 + 4 + 4 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×38542644864² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38542644864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465144 + ... + 541704.

It is an arithmetic number, because the mean of its divisors is an integer number (634507575).

Almost surely, 2^38542644864 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 38542644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60912727200).

38542644864 is an abundant number, since it is smaller than the sum of its proper divisors (83282809536).

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

38542644864 is a wasteful number, since it uses less digits than its factorization.

38542644864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76623 (or 76608 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 38542644864 in words is "thirty-eight billion, five hundred forty-two million, six hundred forty-four thousand, eight hundred sixty-four".