38960561664 has 120 divisors (see below), whose sum is σ = 112546245240. Its totient is φ = 12974911488.

The previous prime is 38960561659. The next prime is 38960561671. The reversal of 38960561664 is 46616506983.

It is a self number, because there is not a number n which added to its sum of digits gives 38960561664.

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, 6019422 + ... + 6025890.

It is an arithmetic number, because the mean of its divisors is an integer number (937885377).

Almost surely, 2^38960561664 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 38960561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56273122620).

38960561664 is an abundant number, since it is smaller than the sum of its proper divisors (73585683576).

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

38960561664 is a wasteful number, since it uses less digits than its factorization.

38960561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800 (or 7781 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 38960561664 in words is "thirty-eight billion, nine hundred sixty million, five hundred sixty-one thousand, six hundred sixty-four".