3007968 has 24 divisors (see below), whose sum is σ = 7896168. Its totient is φ = 1002624.

The previous prime is 3007957. The next prime is 3007969. The reversal of 3007968 is 8697003.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3007969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15571 + ... + 15762.

It is an arithmetic number, because the mean of its divisors is an integer number (329007).

Almost surely, 2^3007968 is an apocalyptic number.

It is an amenable number.

3007968 is an abundant number, since it is smaller than the sum of its proper divisors (4888200).

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

3007968 is a wasteful number, since it uses less digits than its factorization.

3007968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31346 (or 31338 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 3007968 is about 1734.3494457577. The cubic root of 3007968 is about 144.3525313135.

The spelling of 3007968 in words is "three million, seven thousand, nine hundred sixty-eight".