384387588864 has 216 divisors, whose sum is σ = 1129319034480. Its totient is φ = 125712728064.

The previous prime is 384387588859. The next prime is 384387588883. The reversal of 384387588864 is 468885783483.

384387588864 is a `hidden beast` number, since 3 + 8 + 4 + 38 + 7 + 588 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 384387588792 and 384387588801.

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 23 ways as a sum of consecutive naturals, for example, 39667732 + ... + 39677420.

Almost surely, 2^384387588864 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 384387588864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564659517240).

384387588864 is an abundant number, since it is smaller than the sum of its proper divisors (744931445616).

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

384387588864 is a wasteful number, since it uses less digits than its factorization.

384387588864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035 (or 10018 counting only the distinct ones).

The product of its digits is 990904320, while the sum is 72.

The spelling of 384387588864 in words is "three hundred eighty-four billion, three hundred eighty-seven million, five hundred eighty-eight thousand, eight hundred sixty-four".