3005008 has 20 divisors (see below), whose sum is σ = 5851188. Its totient is φ = 1495040.

The previous prime is 3004993. The next prime is 3005011. The reversal of 3005008 is 8005003.

3005008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2782224 + 222784 = 1668^2 + 472^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3004982 and 3005000.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 4368 + ... + 5008.

Almost surely, 2^3005008 is an apocalyptic number.

It is an amenable number.

3005008 is a deficient number, since it is larger than the sum of its proper divisors (2846180).

3005008 is a wasteful number, since it uses less digits than its factorization.

3005008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 3005008 is about 1733.4958898134. The cubic root of 3005008 is about 144.3051655918.

The spelling of 3005008 in words is "three million, five thousand, eight".