3668 has 12 divisors (see below), whose sum is σ = 7392. Its totient is φ = 1560.

The previous prime is 3659. The next prime is 3671. The reversal of 3668 is 8663.

3668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3668 is an admirable number.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38 + ... + 93.

It is an arithmetic number, because the mean of its divisors is an integer number (616).

2³⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

3668 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (3696).

3668 is a wasteful number, since it uses less digits than its factorization.

3668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 3668 is about 60.5640157189. The cubic root of 3668 is about 15.4220855879.

The spelling of 3668 in words is "three thousand, six hundred sixty-eight".