38360027456784 has 360 divisors, whose sum is σ = 121263269487360. Its totient is φ = 11303317808640.

The previous prime is 38360027456761. The next prime is 38360027456809. The reversal of 38360027456784 is 48765472006383.

38360027456784 is a `hidden beast` number, since 3 + 8 + 3 + 60 + 0 + 2 + 7 + 4 + 567 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1133989279 + ... + 1134023105.

Almost surely, 2^{38360027456784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38360027456784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60631634743680).

38360027456784 is an abundant number, since it is smaller than the sum of its proper divisors (82903242030576).

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

38360027456784 is a wasteful number, since it uses less digits than its factorization.

38360027456784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35659 (or 35639 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 38360027456784 in words is "thirty-eight trillion, three hundred sixty billion, twenty-seven million, four hundred fifty-six thousand, seven hundred eighty-four".