38675772686400 has 336 divisors, whose sum is σ = 127994261176320. Its totient is φ = 10223819827200.

The previous prime is 38675772686381. The next prime is 38675772686407. The reversal of 38675772686400 is 468627757683.

It is not an unprimeable number, because it can be changed into a prime (38675772686407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 750391831 + ... + 750443369.

It is an arithmetic number, because the mean of its divisors is an integer number (380935301120).

Almost surely, 2^{38675772686400} is an apocalyptic number.

38675772686400 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 38675772686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63997130588160).

38675772686400 is an abundant number, since it is smaller than the sum of its proper divisors (89318488489920).

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

38675772686400 is a wasteful number, since it uses less digits than its factorization.

38675772686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52922 (or 52907 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 69.

The spelling of 38675772686400 in words is "thirty-eight trillion, six hundred seventy-five billion, seven hundred seventy-two million, six hundred eighty-six thousand, four hundred".