3689 has 8 divisors (see below), whose sum is σ = 4608. Its totient is φ = 2880.

The previous prime is 3677. The next prime is 3691. The reversal of 3689 is 9863.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3689 - 2⁴ = 3673 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10, base 13 and base 15.

It is not an unprimeable number, because it can be changed into a prime (3659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104 + ... + 134.

It is an arithmetic number, because the mean of its divisors is an integer number (576).

2³⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

3689 is a deficient number, since it is larger than the sum of its proper divisors (919).

3689 is a wasteful number, since it uses less digits than its factorization.

3689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55.

The product of its digits is 1296, while the sum is 26.

The square root of 3689 is about 60.7371385562. The cubic root of 3689 is about 15.4514610600.

Subtracting from 3689 its sum of digits (26), we obtain a palindrome (3663).

It can be divided in two parts, 36 and 89, that added together give a cube (125 = 5³).

The spelling of 3689 in words is "three thousand, six hundred eighty-nine".