3004000 has 48 divisors (see below), whose sum is σ = 7390656. Its totient is φ = 1200000.

The previous prime is 3003997. The next prime is 3004013. The reversal of 3004000 is 4003.

3004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 3625 + ... + 4375.

It is an arithmetic number, because the mean of its divisors is an integer number (153972).

Almost surely, 2^3004000 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 3004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695328).

3004000 is an abundant number, since it is smaller than the sum of its proper divisors (4386656).

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

3004000 is an equidigital number, since it uses as much as digits as its factorization.

3004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 3004000 is about 1733.2051234635. The cubic root of 3004000 is about 144.2890285438.

Adding to 3004000 its reverse (4003), we get a palindrome (3008003).

The spelling of 3004000 in words is "three million, four thousand".