38404584960 has 640 divisors, whose sum is σ = 146133504000. Its totient is φ = 8598159360.

The previous prime is 38404584931. The next prime is 38404584997. The reversal of 38404584960 is 6948540483.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160688521 + ... + 160688759.

It is an arithmetic number, because the mean of its divisors is an integer number (228333600).

Almost surely, 2^38404584960 is an apocalyptic number.

38404584960 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 38404584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73066752000).

38404584960 is an abundant number, since it is smaller than the sum of its proper divisors (107728919040).

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

38404584960 is an equidigital number, since it uses as much as digits as its factorization.

38404584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 38404584960 in words is "thirty-eight billion, four hundred four million, five hundred eighty-four thousand, nine hundred sixty".