3008808 has 96 divisors (see below), whose sum is σ = 9266400. Its totient is φ = 873600.

The previous prime is 3008807. The next prime is 3008809. The reversal of 3008808 is 8088003.

3008808 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 (3008807) and next prime (3008809).

It is a super-3 number, since 3×3008808³ = 81715544733324750336, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3008801) 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 23 ways as a sum of consecutive naturals, for example, 22903 + ... + 23033.

It is an arithmetic number, because the mean of its divisors is an integer number (96525).

Almost surely, 2^3008808 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 3008808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633200).

3008808 is an abundant number, since it is smaller than the sum of its proper divisors (6257592).

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

3008808 is a wasteful number, since it uses less digits than its factorization.

3008808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 3008808 is about 1734.5915945836. The cubic root of 3008808 is about 144.3659672766.

The spelling of 3008808 in words is "three million, eight thousand, eight hundred eight".