3007004 has 48 divisors (see below), whose sum is σ = 7074816. Its totient is φ = 1080000.

The previous prime is 3007003. The next prime is 3007009. The reversal of 3007004 is 4007003.

3007004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 3007004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3007001) 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 15 ways as a sum of consecutive naturals, for example, 3629 + ... + 4379.

It is an arithmetic number, because the mean of its divisors is an integer number (147392).

Almost surely, 2^3007004 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 3007004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537408).

3007004 is an abundant number, since it is smaller than the sum of its proper divisors (4067812).

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

3007004 is a wasteful number, since it uses less digits than its factorization.

3007004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 3007004 is about 1734.0715094828. The cubic root of 3007004 is about 144.3371088635.

Subtracting 3007004 from its reverse (4007003), we obtain a palindrome (999999).

The spelling of 3007004 in words is "three million, seven thousand, four".