3967884 has 36 divisors (see below), whose sum is σ = 10559640. Its totient is φ = 1252800.

The previous prime is 3967877. The next prime is 3967913. The reversal of 3967884 is 4887693.

It is a happy number.

3967884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 2217 + ... + 3584.

Almost surely, 2^3967884 is an apocalyptic number.

It is an amenable number.

3967884 is an abundant number, since it is smaller than the sum of its proper divisors (6591756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3967884 is a wasteful number, since it uses less digits than its factorization.

3967884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5825 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3967884 is about 1991.9548187647. The cubic root of 3967884 is about 158.3141216456.

It can be divided in two parts, 3967 and 884, that added together give a triangular number (4851 = T₉₈).

The spelling of 3967884 in words is "three million, nine hundred sixty-seven thousand, eight hundred eighty-four".