38781114256800 has 216 divisors, whose sum is σ = 136911124939680. Its totient is φ = 10329589670400.

The previous prime is 38781114256727. The next prime is 38781114256817. The reversal of 38781114256800 is 865241118783.

38781114256800 is a `hidden beast` number, since 3 + 8 + 78 + 1 + 1 + 1 + 4 + 2 + 568 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3049605 + ... + 9319995.

Almost surely, 2^{38781114256800} is an apocalyptic number.

38781114256800 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 38781114256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68455562469840).

38781114256800 is an abundant number, since it is smaller than the sum of its proper divisors (98130010682880).

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

38781114256800 is a wasteful number, since it uses less digits than its factorization.

38781114256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6271276 (or 6271260 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 38781114256800 in words is "thirty-eight trillion, seven hundred eighty-one billion, one hundred fourteen million, two hundred fifty-six thousand, eight hundred".