38297587413888 has 384 divisors, whose sum is σ = 125563285036800. Its totient is φ = 11090822307840.

The previous prime is 38297587413857. The next prime is 38297587413913. The reversal of 38297587413888 is 88831478579283.

It is a happy number.

38297587413888 is a `hidden beast` number, since 3 + 8 + 29 + 7 + 587 + 4 + 1 + 3 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328995631 + ... + 329112017.

It is an arithmetic number, because the mean of its divisors is an integer number (326987721450).

Almost surely, 2^{38297587413888} 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 38297587413888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62781642518400).

38297587413888 is an abundant number, since it is smaller than the sum of its proper divisors (87265697622912).

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

38297587413888 is a wasteful number, since it uses less digits than its factorization.

38297587413888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117570 (or 117555 counting only the distinct ones).

The product of its digits is 5202247680, while the sum is 81.

The spelling of 38297587413888 in words is "thirty-eight trillion, two hundred ninety-seven billion, five hundred eighty-seven million, four hundred thirteen thousand, eight hundred eighty-eight".