384644832 has 96 divisors (see below), whose sum is σ = 1186254720. Its totient is φ = 107589120.

The previous prime is 384644809. The next prime is 384644837. The reversal of 384644832 is 238446483.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384644837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282 + ... + 27737.

It is an arithmetic number, because the mean of its divisors is an integer number (12356820).

Almost surely, 2^384644832 is an apocalyptic number.

384644832 is a gapful number since it is divisible by the number (32) 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 384644832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593127360).

384644832 is an abundant number, since it is smaller than the sum of its proper divisors (801609888).

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

384644832 is a wasteful number, since it uses less digits than its factorization.

384644832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28056 (or 28048 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 384644832 is about 19612.3642633926. The cubic root of 384644832 is about 727.2548629097.

The spelling of 384644832 in words is "three hundred eighty-four million, six hundred forty-four thousand, eight hundred thirty-two".