3013008 has 40 divisors (see below), whose sum is σ = 7978656. Its totient is φ = 979200.

The previous prime is 3013007. The next prime is 3013019. The reversal of 3013008 is 8003103.

3013008 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3013007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1203 + ... + 2733.

Almost surely, 2^3013008 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 3013008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989328).

3013008 is an abundant number, since it is smaller than the sum of its proper divisors (4965648).

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

3013008 is a wasteful number, since it uses less digits than its factorization.

3013008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3013008 is about 1735.8018320073. The cubic root of 3013008 is about 144.4331096080.

The spelling of 3013008 in words is "three million, thirteen thousand, eight".