3685 has 8 divisors (see below), whose sum is σ = 4896. Its totient is φ = 2640.

The previous prime is 3677. The next prime is 3691. The reversal of 3685 is 5863.

3685 = T₂₂ + T₂₃ + ... + T₃₁.

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

It is not a de Polignac number, because 3685 - 2³ = 3677 is a prime.

It is a Duffinian number.

3685 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

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, 22 + ... + 88.

It is an arithmetic number, because the mean of its divisors is an integer number (612).

3685 is a Friedman number, since it can be written as 5*(8+3^6), using all its digits and the basic arithmetic operations.

It is an amenable number.

3685 is a deficient number, since it is larger than the sum of its proper divisors (1211).

3685 is a wasteful number, since it uses less digits than its factorization.

3685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

The product of its digits is 720, while the sum is 22.

The square root of 3685 is about 60.7042008431. The cubic root of 3685 is about 15.4458743431.

Subtracting from 3685 its sum of digits (22), we obtain a palindrome (3663).

It can be divided in two parts, 368 and 5, that added together give a palindrome (373).

The spelling of 3685 in words is "three thousand, six hundred eighty-five".