3967984 has 10 divisors (see below), whose sum is σ = 7688000. Its totient is φ = 1983984.

The previous prime is 3967973. The next prime is 3967993. The reversal of 3967984 is 4897693.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123984 + ... + 124015.

It is an arithmetic number, because the mean of its divisors is an integer number (768800).

Almost surely, 2^3967984 is an apocalyptic number.

It is an amenable number.

3967984 is a deficient number, since it is larger than the sum of its proper divisors (3720016).

3967984 is a wasteful number, since it uses less digits than its factorization.

3967984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248007 (or 248001 counting only the distinct ones).

The product of its digits is 326592, while the sum is 46.

The square root of 3967984 is about 1991.9799195775. The cubic root of 3967984 is about 158.3154515971.

The spelling of 3967984 in words is "three million, nine hundred sixty-seven thousand, nine hundred eighty-four".