38009726880 has 96 divisors (see below), whose sum is σ = 119838398400. Its totient is φ = 10126804992.

The previous prime is 38009726863. The next prime is 38009726893. The reversal of 38009726880 is 8862790083.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506851 + ... + 576989.

It is an arithmetic number, because the mean of its divisors is an integer number (1248316650).

Almost surely, 2^38009726880 is an apocalyptic number.

38009726880 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 38009726880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59919199200).

38009726880 is an abundant number, since it is smaller than the sum of its proper divisors (81828671520).

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

38009726880 is a wasteful number, since it uses less digits than its factorization.

38009726880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71286 (or 71278 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 38009726880 in words is "thirty-eight billion, nine million, seven hundred twenty-six thousand, eight hundred eighty".