384675840 has 156 divisors (see below), whose sum is σ = 1334019024. Its totient is φ = 102531072.

The previous prime is 384675829. The next prime is 384675857. The reversal of 384675840 is 48576483.

384675840 is a `hidden beast` number, since 3 + 8 + 4 + 67 + 584 + 0 = 666.

384675840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183277 + ... + 185363.

It is an arithmetic number, because the mean of its divisors is an integer number (8551404).

Almost surely, 2^384675840 is an apocalyptic number.

384675840 is a gapful number since it is divisible by the number (30) 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 384675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667009512).

384675840 is an abundant number, since it is smaller than the sum of its proper divisors (949343184).

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

384675840 is a wasteful number, since it uses less digits than its factorization.

384675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 384675840 is about 19613.1547691849. The cubic root of 384675840 is about 727.2744048446.

The spelling of 384675840 in words is "three hundred eighty-four million, six hundred seventy-five thousand, eight hundred forty".