384696576 has 216 divisors, whose sum is σ = 1241656416. Its totient is φ = 113541120.

The previous prime is 384696547. The next prime is 384696581. The reversal of 384696576 is 675696483.

384696576 is a `hidden beast` number, since 3 + 8 + 4 + 69 + 6 + 576 = 666.

It is a super-2 number, since 2×384696576² = 295982911172247552, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1089616 + ... + 1089968.

Almost surely, 2^384696576 is an apocalyptic number.

384696576 is a gapful number since it is divisible by the number (36) 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 384696576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620828208).

384696576 is an abundant number, since it is smaller than the sum of its proper divisors (856959840).

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

384696576 is a wasteful number, since it uses less digits than its factorization.

384696576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 412 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 384696576 is about 19613.6833868603. The cubic root of 384696576 is about 727.2874725495.

The spelling of 384696576 in words is "three hundred eighty-four million, six hundred ninety-six thousand, five hundred seventy-six".