38577360900 has 144 divisors (see below), whose sum is σ = 120282926400. Its totient is φ = 9489661440.

The previous prime is 38577360893. The next prime is 38577360919. The reversal of 38577360900 is 906377583.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38577360900.

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, 9119986 + ... + 9124214.

It is an arithmetic number, because the mean of its divisors is an integer number (835298100).

Almost surely, 2^38577360900 is an apocalyptic number.

38577360900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38577360900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60141463200).

38577360900 is an abundant number, since it is smaller than the sum of its proper divisors (81705565500).

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

38577360900 is a wasteful number, since it uses less digits than its factorization.

38577360900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6598 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 38577360900 in words is "thirty-eight billion, five hundred seventy-seven million, three hundred sixty thousand, nine hundred".