3964168 has 32 divisors (see below), whose sum is σ = 8184960. Its totient is φ = 1788480.

The previous prime is 3964157. The next prime is 3964183. The reversal of 3964168 is 8614693.

3964168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 4483 + ... + 5293.

It is an arithmetic number, because the mean of its divisors is an integer number (255780).

Almost surely, 2^3964168 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 3964168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092480).

3964168 is an abundant number, since it is smaller than the sum of its proper divisors (4220792).

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

3964168 is a wasteful number, since it uses less digits than its factorization.

3964168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 873 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 3964168 is about 1991.0218481976. The cubic root of 3964168 is about 158.2646847987.

The spelling of 3964168 in words is "three million, nine hundred sixty-four thousand, one hundred sixty-eight".