38396992204800 has 1092 divisors, whose sum is σ = 143554761442944. Its totient is φ = 10181807308800.

The previous prime is 38396992204789. The next prime is 38396992204861. The reversal of 38396992204800 is 840229969383.

38396992204800 is a `hidden beast` number, since 3 + 8 + 3 + 9 + 69 + 92 + 2 + 0 + 480 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14258072254 + ... + 14258074946.

Almost surely, 2^{38396992204800} is an apocalyptic number.

38396992204800 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 38396992204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71777380721472).

38396992204800 is an abundant number, since it is smaller than the sum of its proper divisors (105157769238144).

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

38396992204800 is an equidigital number, since it uses as much as digits as its factorization.

38396992204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 38396992204800 in words is "thirty-eight trillion, three hundred ninety-six billion, nine hundred ninety-two million, two hundred four thousand, eight hundred".