386784 has 72 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 119808.

The previous prime is 386777. The next prime is 386809. The reversal of 386784 is 487683.

386784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3¹⁰ + 8⁵ + 7² + 6 + 8⁵ + 4⁹ .

Its product of digits (32256) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is an unprimeable number.

386784 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4857 + ... + 4935.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2³⁸⁶⁷⁸⁴ is an apocalyptic number.

386784 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

386784 is an abundant number, since it is smaller than the sum of its proper divisors (792576).

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

386784 is a wasteful number, since it uses less digits than its factorization.

386784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 386784 is about 621.9196089528. The cubic root of 386784 is about 72.8600559059.

The spelling of 386784 in words is "three hundred eighty-six thousand, seven hundred eighty-four".