384127392 has 48 divisors (see below), whose sum is σ = 1100004192. Its totient is φ = 116401920.

The previous prime is 384127391. The next prime is 384127421. The reversal of 384127392 is 293721483.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 384127392.

It is not an unprimeable number, because it can be changed into a prime (384127391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180823 + ... + 182934.

It is an arithmetic number, because the mean of its divisors is an integer number (22916754).

Almost surely, 2^384127392 is an apocalyptic number.

384127392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

384127392 is an abundant number, since it is smaller than the sum of its proper divisors (715876800).

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

384127392 is a wasteful number, since it uses less digits than its factorization.

384127392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363781 (or 363773 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 384127392 is about 19599.1681456127. The cubic root of 384127392 is about 726.9286055470.

The spelling of 384127392 in words is "three hundred eighty-four million, one hundred twenty-seven thousand, three hundred ninety-two".