384144768 has 320 divisors, whose sum is σ = 1342809600. Its totient is φ = 106748928.

The previous prime is 384144749. The next prime is 384144829. The reversal of 384144768 is 867441483.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4862553 + ... + 4862631.

It is an arithmetic number, because the mean of its divisors is an integer number (4196280).

Almost surely, 2^384144768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671404800).

384144768 is an abundant number, since it is smaller than the sum of its proper divisors (958664832).

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

384144768 is an equidigital number, since it uses as much as digits as its factorization.

384144768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 384144768 is about 19599.6114247196. The cubic root of 384144768 is about 726.9395662519.

The spelling of 384144768 in words is "three hundred eighty-four million, one hundred forty-four thousand, seven hundred sixty-eight".