363684 has 12 divisors (see below), whose sum is σ = 848624. Its totient is φ = 121224.

The previous prime is 363683. The next prime is 363691. The reversal of 363684 is 486363.

363684 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 (12).

It is a d-powerful number, because it can be written as 3³ + 6⁵ + 6⁷ + 3¹⁰ + 8³ + 4⁷ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363684.

It is not an unprimeable number, because it can be changed into a prime (363683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15142 + ... + 15165.

2³⁶³⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

363684 is an abundant number, since it is smaller than the sum of its proper divisors (484940).

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

363684 is a wasteful number, since it uses less digits than its factorization.

363684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30314 (or 30312 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 363684 is about 603.0621858482. The cubic root of 363684 is about 71.3797021918.

The spelling of 363684 in words is "three hundred sixty-three thousand, six hundred eighty-four".