3984964 has 12 divisors (see below), whose sum is σ = 7105644. Its totient is φ = 1954784.

The previous prime is 3984949. The next prime is 3984971. The reversal of 3984964 is 4694893.

3984964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3097600 + 887364 = 1760^2 + 942^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3984964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9187 + ... + 9610.

It is an arithmetic number, because the mean of its divisors is an integer number (592137).

Almost surely, 2^3984964 is an apocalyptic number.

It is an amenable number.

3984964 is a deficient number, since it is larger than the sum of its proper divisors (3120680).

3984964 is a wasteful number, since it uses less digits than its factorization.

3984964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18854 (or 18852 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The square root of 3984964 is about 1996.2374608247. The cubic root of 3984964 is about 158.5409540998.

The spelling of 3984964 in words is "three million, nine hundred eighty-four thousand, nine hundred sixty-four".