3966144 has 112 divisors (see below), whose sum is σ = 12972288. Its totient is φ = 1041408.

The previous prime is 3966139. The next prime is 3966161. The reversal of 3966144 is 4416693.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17359 + ... + 17585.

It is an arithmetic number, because the mean of its divisors is an integer number (115824).

Almost surely, 2^3966144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486144).

3966144 is an abundant number, since it is smaller than the sum of its proper divisors (9006144).

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

3966144 is a wasteful number, since it uses less digits than its factorization.

3966144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 3966144 is about 1991.5180139783. The cubic root of 3966144 is about 158.2909769126.

The spelling of 3966144 in words is "three million, nine hundred sixty-six thousand, one hundred forty-four".