38508923960800 has 144 divisors (see below), whose sum is σ = 94375362090240. Its totient is φ = 15343753397760.

The previous prime is 38508923960747. The next prime is 38508923960831. The reversal of 38508923960800 is 806932980583.

38508923960800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397577977 + ... + 397674823.

It is an arithmetic number, because the mean of its divisors is an integer number (655384458960).

Almost surely, 2^{38508923960800} 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 38508923960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47187681045120).

38508923960800 is an abundant number, since it is smaller than the sum of its proper divisors (55866438129440).

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

38508923960800 is a wasteful number, since it uses less digits than its factorization.

38508923960800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98793 (or 98780 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 38508923960800 in words is "thirty-eight trillion, five hundred eight billion, nine hundred twenty-three million, nine hundred sixty thousand, eight hundred".