38413061568 has 420 divisors, whose sum is σ = 133910496720. Its totient is φ = 10855047168.

The previous prime is 38413061567. The next prime is 38413061597. The reversal of 38413061568 is 86516031483.

38413061568 is a `hidden beast` number, since 3 + 84 + 1 + 3 + 0 + 6 + 1 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38413061567) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24638773 + ... + 24640331.

It is an arithmetic number, because the mean of its divisors is an integer number (318834516).

Almost surely, 2^38413061568 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 38413061568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66955248360).

38413061568 is an abundant number, since it is smaller than the sum of its proper divisors (95497435152).

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

38413061568 is a wasteful number, since it uses less digits than its factorization.

38413061568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38413061568 in words is "thirty-eight billion, four hundred thirteen million, sixty-one thousand, five hundred sixty-eight".