3008000 has 80 divisors (see below), whose sum is σ = 7660224. Its totient is φ = 1177600.

The previous prime is 3007987. The next prime is 3008011. The reversal of 3008000 is 8003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63977 + ... + 64023.

Almost surely, 2^3008000 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 3008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830112).

3008000 is an abundant number, since it is smaller than the sum of its proper divisors (4652224).

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

3008000 is an frugal number, since it uses more digits than its factorization.

3008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

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

The square root of 3008000 is about 1734.3586710943. The cubic root of 3008000 is about 144.3530432055.

The spelling of 3008000 in words is "three million, eight thousand".