3004 has 6 divisors (see below), whose sum is σ = 5264. Its totient is φ = 1500.

The previous prime is 3001. The next prime is 3011. The reversal of 3004 is 4003.

It is a pancake number, because a pancake can be divided into 3004 parts by 77 straight cuts.

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 15.

It is a congruent number.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 372 + ... + 379.

2³⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

3004 is a deficient number, since it is larger than the sum of its proper divisors (2260).

3004 is a wasteful number, since it uses less digits than its factorization.

3004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 753 counting only the distinct ones).

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

The square root of 3004 is about 54.8087584242. The cubic root of 3004 is about 14.4289028544.

Subtracting from 3004 its product of nonzero digits (12), we obtain a palindrome (2992).

Adding to 3004 its reverse (4003), we get a palindrome (7007).

Subtracting 3004 from its reverse (4003), we obtain a palindrome (999).

The spelling of 3004 in words is "three thousand, four", and thus it is an iban number.