384636144 has 40 divisors (see below), whose sum is σ = 995829120. Its totient is φ = 127930048.

The previous prime is 384636139. The next prime is 384636149. The reversal of 384636144 is 441636483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (384636139) and next prime (384636149).

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 (384636149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13837 + ... + 30995.

It is an arithmetic number, because the mean of its divisors is an integer number (24895728).

Almost surely, 2^384636144 is an apocalyptic number.

It is an amenable number.

384636144 is an abundant number, since it is smaller than the sum of its proper divisors (611192976).

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

384636144 is a wasteful number, since it uses less digits than its factorization.

384636144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17637 (or 17631 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 384636144 is about 19612.1427692132. The cubic root of 384636144 is about 727.2493873495.

The spelling of 384636144 in words is "three hundred eighty-four million, six hundred thirty-six thousand, one hundred forty-four".