384321659904 has 352 divisors, whose sum is σ = 1400839722240. Its totient is φ = 101358895104.

The previous prime is 384321659857. The next prime is 384321659921. The reversal of 384321659904 is 409956123483.

384321659904 is a `hidden beast` number, since 3 + 8 + 4 + 32 + 16 + 599 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 2439592 + ... + 2592344.

Almost surely, 2^384321659904 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 384321659904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700419861120).

384321659904 is an abundant number, since it is smaller than the sum of its proper divisors (1016518062336).

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

384321659904 is a wasteful number, since it uses less digits than its factorization.

384321659904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152802 (or 152778 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 384321659904 in words is "three hundred eighty-four billion, three hundred twenty-one million, six hundred fifty-nine thousand, nine hundred four".