3006247968 has 36 divisors (see below), whose sum is σ = 8549018478. Its totient is φ = 1002082560.

The previous prime is 3006247943. The next prime is 3006247969. The reversal of 3006247968 is 8697426003.

It can be written as a sum of positive squares in only one way, i.e., 3006109584 + 138384 = 54828^2 + 372^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3006247969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5218893 + ... + 5219468.

Almost surely, 2^3006247968 is an apocalyptic number.

It is an amenable number.

3006247968 is an abundant number, since it is smaller than the sum of its proper divisors (5542770510).

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

3006247968 is a wasteful number, since it uses less digits than its factorization.

3006247968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10438377 (or 10438366 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3006247968 is about 54829.2619684052. The cubic root of 3006247968 is about 1443.2501126071.

The spelling of 3006247968 in words is "three billion, six million, two hundred forty-seven thousand, nine hundred sixty-eight".