3687 has 4 divisors (see below), whose sum is σ = 4920. Its totient is φ = 2456.

The previous prime is 3677. The next prime is 3691. The reversal of 3687 is 7863.

3687 is nontrivially palindromic in base 2.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7863 = 3 ⋅2621.

It is a cyclic number.

It is not a de Polignac number, because 3687 - 2⁴ = 3671 is a prime.

It is a D-number.

3687 is a lucky number.

It is a plaindrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3687.

It is not an unprimeable number, because it can be changed into a prime (3607) 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, 612 + ... + 617.

It is an arithmetic number, because the mean of its divisors is an integer number (1230).

3687 is a deficient number, since it is larger than the sum of its proper divisors (1233).

3687 is a wasteful number, since it uses less digits than its factorization.

3687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232.

The product of its digits is 1008, while the sum is 24.

The square root of 3687 is about 60.7206719330. The cubic root of 3687 is about 15.4486682066.

Subtracting from 3687 its sum of digits (24), we obtain a palindrome (3663).

Multiplying 3687 by its sum of digits (24), we get a palindrome (88488).

The spelling of 3687 in words is "three thousand, six hundred eighty-seven".