3684 has 12 divisors (see below), whose sum is σ = 8624. Its totient is φ = 1224.

The previous prime is 3677. The next prime is 3691. The reversal of 3684 is 4863.

Subtracting from 3684 its sum of digits (21), we obtain a palindrome (3663).

It can be divided in two parts, 36 and 84, that added together give a triangular number (120 = T_{15}).

3684 = T_{24} + T_{25} + ... +
T_{32}.

3684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3684 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (3677) and next prime (3691).

It is a tau number, because it is divible by the number of its divisors (12).

3684 is a repfigit number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3684.

It is an unprimeable number.

3684 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 3 ways as a sum of consecutive naturals, for example, 142 + ... + 165.

2^{3684} is an apocalyptic number.

It is an amenable number.

3684 is an abundant number, since it is smaller than the sum of its proper divisors (4940).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312).

3684 is a wasteful number, since it uses less digits than its factorization.

3684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 312 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 3684 is about 60.6959636220. The cubic root of 3684 is about 15.4444770322. Note that the first 4 decimals are identical.

The spelling of 3684 in words is "three thousand, six hundred eighty-four".

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