38755683532800 has 1656 divisors, whose sum is σ = 156090501436080. Its totient is φ = 9539860561920.

The previous prime is 38755683532799. The next prime is 38755683532807. The reversal of 38755683532800 is 823538655783.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

38755683532800 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 568 + 35 + 32 + 8 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (38755683532807) by changing a digit.

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, 2981206425594 + ... + 2981206425606.

Almost surely, 2^{38755683532800} is an apocalyptic number.

38755683532800 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 38755683532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78045250718040).

38755683532800 is an abundant number, since it is smaller than the sum of its proper divisors (117334817903280).

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

38755683532800 is an frugal number, since it uses more digits than its factorization.

38755683532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 38755683532800 in words is "thirty-eight trillion, seven hundred fifty-five billion, six hundred eighty-three million, five hundred thirty-two thousand, eight hundred".