384768576 has 112 divisors (see below), whose sum is σ = 1142268480. Its totient is φ = 126996480.

The previous prime is 384768569. The next prime is 384768613. The reversal of 384768576 is 675867483.

384768576 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 68 + 576 = 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183856 + ... + 185936.

Almost surely, 2^384768576 is an apocalyptic number.

384768576 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 384768576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571134240).

384768576 is an abundant number, since it is smaller than the sum of its proper divisors (757499904).

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

384768576 is a wasteful number, since it uses less digits than its factorization.

384768576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2193 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 384768576 is about 19615.5187542925. The cubic root of 384768576 is about 727.3328428793.

The spelling of 384768576 in words is "three hundred eighty-four million, seven hundred sixty-eight thousand, five hundred seventy-six".