38405327520 has 96 divisors (see below), whose sum is σ = 138259191168. Its totient is φ = 8778359808.

The previous prime is 38405327503. The next prime is 38405327539. The reversal of 38405327520 is 2572350483.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5711719 + ... + 5718438.

It is an arithmetic number, because the mean of its divisors is an integer number (1440199908).

Almost surely, 2^38405327520 is an apocalyptic number.

38405327520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38405327520 is an abundant number, since it is smaller than the sum of its proper divisors (99853863648).

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

38405327520 is a wasteful number, since it uses less digits than its factorization.

38405327520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11430182 (or 11430174 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 38405327520 in words is "thirty-eight billion, four hundred five million, three hundred twenty-seven thousand, five hundred twenty".