386384 has 40 divisors (see below), whose sum is σ = 833280. Its totient is φ = 172800.

The previous prime is 386383. The next prime is 386401. The reversal of 386384 is 483683.

386384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 386384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386381) 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, 9404 + ... + 9444.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2³⁸⁶³⁸⁴ 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 386384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640).

386384 is an abundant number, since it is smaller than the sum of its proper divisors (446896).

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

386384 is a wasteful number, since it uses less digits than its factorization.

386384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 386384 is about 621.5979407945. The cubic root of 386384 is about 72.8349307071.

The spelling of 386384 in words is "three hundred eighty-six thousand, three hundred eighty-four".