38281800960 has 576 divisors, whose sum is σ = 147589881600. Its totient is φ = 9340157952.

The previous prime is 38281800959. The next prime is 38281801001. The reversal of 38281800960 is 6900818283.

38281800960 is a `hidden beast` number, since 382 + 8 + 180 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62449614 + ... + 62450226.

Almost surely, 2^38281800960 is an apocalyptic number.

38281800960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38281800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73794940800).

38281800960 is an abundant number, since it is smaller than the sum of its proper divisors (109308080640).

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

38281800960 is a wasteful number, since it uses less digits than its factorization.

38281800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 38281800960 in words is "thirty-eight billion, two hundred eighty-one million, eight hundred thousand, nine hundred sixty".