3983264 has 12 divisors (see below), whose sum is σ = 7842114. Its totient is φ = 1991616.

The previous prime is 3983263. The next prime is 3983279. The reversal of 3983264 is 4623893.

It is a happy number.

3983264 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 only one way, i.e., 2755600 + 1227664 = 1660^2 + 1108^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3983261) by changing a digit.

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 as a sum of consecutive naturals, namely, 62207 + ... + 62270.

Almost surely, 2^3983264 is an apocalyptic number.

It is an amenable number.

3983264 is a deficient number, since it is larger than the sum of its proper divisors (3858850).

3983264 is a wasteful number, since it uses less digits than its factorization.

3983264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124487 (or 124479 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 3983264 is about 1995.8116143564. The cubic root of 3983264 is about 158.5184061791.

The spelling of 3983264 in words is "three million, nine hundred eighty-three thousand, two hundred sixty-four".