386304384 has 64 divisors (see below), whose sum is σ = 1036189440. Its totient is φ = 127504896.

The previous prime is 386304353. The next prime is 386304433. The reversal of 386304384 is 483403683.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34669 + ... + 44435.

It is an arithmetic number, because the mean of its divisors is an integer number (16190460).

Almost surely, 2^386304384 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 386304384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518094720).

386304384 is an abundant number, since it is smaller than the sum of its proper divisors (649885056).

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

386304384 is a wasteful number, since it uses less digits than its factorization.

386304384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9887 (or 9875 counting only the distinct ones).

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

The square root of 386304384 is about 19654.6275467128. The cubic root of 386304384 is about 728.2992771852.

The spelling of 386304384 in words is "three hundred eighty-six million, three hundred four thousand, three hundred eighty-four".