384026705920 has 512 divisors, whose sum is σ = 1114552172160. Its totient is φ = 125137059840.

The previous prime is 384026705917. The next prime is 384026705947. The reversal of 384026705920 is 29507620483.

It is a tau number, because it is divible by the number of its divisors (512).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866877219 + ... + 866877661.

Almost surely, 2^384026705920 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 384026705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557276086080).

384026705920 is an abundant number, since it is smaller than the sum of its proper divisors (730525466240).

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

384026705920 is a wasteful number, since it uses less digits than its factorization.

384026705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 384026705920 in words is "three hundred eighty-four billion, twenty-six million, seven hundred five thousand, nine hundred twenty".