3008 has 14 divisors (see below), whose sum is σ = 6096. Its totient is φ = 1472.

The previous prime is 3001. The next prime is 3011. The reversal of 3008 is 8003.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 3008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001) by changing a digit.

3008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41 + ... + 87.

2³⁰⁰⁸ is an apocalyptic number.

3008 is the 32-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048).

3008 is an abundant number, since it is smaller than the sum of its proper divisors (3088).

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

3008 is an equidigital number, since it uses as much as digits as its factorization.

3008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3008 is about 54.8452368032. The cubic root of 3008 is about 14.4353043206.

Adding to 3008 its reverse (8003), we get a palindrome (11011).

The spelling of 3008 in words is "three thousand, eight".