38395566880 has 192 divisors, whose sum is σ = 102985344000. Its totient is φ = 13404625920.

The previous prime is 38395566841. The next prime is 38395566887. The reversal of 38395566880 is 8866559383.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (38395566887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4460821 + ... + 4469419.

It is an arithmetic number, because the mean of its divisors is an integer number (536382000).

Almost surely, 2^38395566880 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 38395566880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51492672000).

38395566880 is an abundant number, since it is smaller than the sum of its proper divisors (64589777120).

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

38395566880 is a wasteful number, since it uses less digits than its factorization.

38395566880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8727 (or 8719 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 61.

The spelling of 38395566880 in words is "thirty-eight billion, three hundred ninety-five million, five hundred sixty-six thousand, eight hundred eighty".