384993312 has 96 divisors (see below), whose sum is σ = 1108779840. Its totient is φ = 115998720.

The previous prime is 384993269. The next prime is 384993361. The reversal of 384993312 is 213399483.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202864 + ... + 204752.

It is an arithmetic number, because the mean of its divisors is an integer number (11549790).

Almost surely, 2^384993312 is an apocalyptic number.

384993312 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 384993312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554389920).

384993312 is an abundant number, since it is smaller than the sum of its proper divisors (723786528).

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

384993312 is a wasteful number, since it uses less digits than its factorization.

384993312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2098 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 384993312 is about 19621.2464435876. The cubic root of 384993312 is about 727.4744224070.

The spelling of 384993312 in words is "three hundred eighty-four million, nine hundred ninety-three thousand, three hundred twelve".