3664 has 10 divisors (see below), whose sum is σ = 7130. Its totient is φ = 1824.

The previous prime is 3659. The next prime is 3671. The reversal of 3664 is 4663.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3600 + 64 = 60^2 + 8^2 .

It is a plaindrome in base 13, base 14 and base 15.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99 + ... + 130.

It is an arithmetic number, because the mean of its divisors is an integer number (713).

2³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

3664 is a deficient number, since it is larger than the sum of its proper divisors (3466).

3664 is a wasteful number, since it uses less digits than its factorization.

3664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 3664 is about 60.5309838017. The cubic root of 3664 is about 15.4164775563.

Adding to 3664 its product of digits (432), we get a 12-th power (4096 = 2¹²).

Subtracting 3664 from its reverse (4663), we obtain a palindrome (999).

It can be divided in two parts, 36 and 64, that multiplied together give a square (2304 = 48²).

The spelling of 3664 in words is "three thousand, six hundred sixty-four".