3688 has 8 divisors (see below), whose sum is σ = 6930. Its totient is φ = 1840.

The previous prime is 3677. The next prime is 3691. The reversal of 3688 is 8863.

3688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3364 + 324 = 58^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 10 and base 15.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 223 + ... + 238.

2³⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

3688 is a deficient number, since it is larger than the sum of its proper divisors (3242).

3688 is a wasteful number, since it uses less digits than its factorization.

3688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 3688 is about 60.7289058028. The cubic root of 3688 is about 15.4500647596.

Subtracting from 3688 its sum of digits (25), we obtain a palindrome (3663).

The spelling of 3688 in words is "three thousand, six hundred eighty-eight".