3964 has 6 divisors (see below), whose sum is σ = 6944. Its totient is φ = 1980.

The previous prime is 3947. The next prime is 3967. The reversal of 3964 is 4693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 492 + ... + 499.

It is an amenable number.

3964 is a deficient number, since it is larger than the sum of its proper divisors (2980).

3964 is a wasteful number, since it uses less digits than its factorization.

3964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 993 counting only the distinct ones).

The product of its digits is 648, while the sum is 22.

The square root of 3964 is about 62.9603049548. The cubic root of 3964 is about 15.8262449034.

Subtracting 3964 from its reverse (4693), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 396 and 4, that added together give a square (400 = 20²).

The spelling of 3964 in words is "three thousand, nine hundred sixty-four".