38053976064 has 288 divisors, whose sum is σ = 111700330560. Its totient is φ = 11513069568.

The previous prime is 38053976063. The next prime is 38053976071. The reversal of 38053976064 is 46067935083.

It is a junction number, because it is equal to n+sod(n) for n = 38053975998 and 38053976016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38053976063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69568239 + ... + 69568785.

It is an arithmetic number, because the mean of its divisors is an integer number (387848370).

Almost surely, 2^38053976064 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 38053976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55850165280).

38053976064 is an abundant number, since it is smaller than the sum of its proper divisors (73646354496).

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

38053976064 is a wasteful number, since it uses less digits than its factorization.

38053976064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 38053976064 in words is "thirty-eight billion, fifty-three million, nine hundred seventy-six thousand, sixty-four".