3967968 has 24 divisors (see below), whose sum is σ = 10416168. Its totient is φ = 1322624.

The previous prime is 3967963. The next prime is 3967973. The reversal of 3967968 is 8697693.

It is a happy number.

3967968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3967963) and next prime (3967973).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967961) 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 in 3 ways as a sum of consecutive naturals, for example, 20571 + ... + 20762.

It is an arithmetic number, because the mean of its divisors is an integer number (434007).

Almost surely, 2^3967968 is an apocalyptic number.

It is an amenable number.

3967968 is an abundant number, since it is smaller than the sum of its proper divisors (6448200).

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

3967968 is a wasteful number, since it uses less digits than its factorization.

3967968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41346 (or 41338 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 3967968 is about 1991.9759034687. The cubic root of 3967968 is about 158.3152388063.

The spelling of 3967968 in words is "three million, nine hundred sixty-seven thousand, nine hundred sixty-eight".