38735056800 has 432 divisors, whose sum is σ = 156855273120. Its totient is φ = 8895744000.

The previous prime is 38735056771. The next prime is 38735056813. The reversal of 38735056800 is 865053783.

38735056800 is a `hidden beast` number, since 3 + 87 + 3 + 5 + 0 + 568 + 0 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1491930 + ... + 1517670.

It is an arithmetic number, because the mean of its divisors is an integer number (363090910).

Almost surely, 2^38735056800 is an apocalyptic number.

38735056800 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 38735056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427636560).

38735056800 is an abundant number, since it is smaller than the sum of its proper divisors (118120216320).

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

38735056800 is a wasteful number, since it uses less digits than its factorization.

38735056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25797 (or 25781 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 38735056800 in words is "thirty-eight billion, seven hundred thirty-five million, fifty-six thousand, eight hundred".