38560795200 has 756 divisors, whose sum is σ = 148150569840. Its totient is φ = 9862041600.

The previous prime is 38560795193. The next prime is 38560795237. The reversal of 38560795200 is 259706583.

It is a happy number.

38560795200 is a `hidden beast` number, since 3 + 8 + 56 + 0 + 79 + 520 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 653572771 + ... + 653572829.

Almost surely, 2^38560795200 is an apocalyptic number.

38560795200 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 38560795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74075284920).

38560795200 is an abundant number, since it is smaller than the sum of its proper divisors (109589774640).

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

38560795200 is an equidigital number, since it uses as much as digits as its factorization.

38560795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 38560795200 in words is "thirty-eight billion, five hundred sixty million, seven hundred ninety-five thousand, two hundred".