384964736 has 32 divisors (see below), whose sum is σ = 825919500. Its totient is φ = 177675264.

The previous prime is 384964693. The next prime is 384964753. The reversal of 384964736 is 637469483.

384964736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 379470400 + 5494336 = 19480^2 + 2344^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 114011 + ... + 117338.

Almost surely, 2^384964736 is an apocalyptic number.

It is an amenable number.

384964736 is an abundant number, since it is smaller than the sum of its proper divisors (440954764).

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

384964736 is a wasteful number, since it uses less digits than its factorization.

384964736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231376 (or 231364 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 50.

The square root of 384964736 is about 19620.5182398427. The cubic root of 384964736 is about 727.4564231130.

The spelling of 384964736 in words is "three hundred eighty-four million, nine hundred sixty-four thousand, seven hundred thirty-six".