3004006004003 has 16 divisors (see below), whose sum is σ = 3037566829920. Its totient is φ = 2970522720000.

The previous prime is 3004006003979. The next prime is 3004006004033.

It is a happy number.

3004006004003 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3004006004003 - 2²⁴ = 3003989226787 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3004006004033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303399353 + ... + 303409253.

It is an arithmetic number, because the mean of its divisors is an integer number (189847926870).

Almost surely, 2^{3004006004003} is an apocalyptic number.

3004006004003 is a deficient number, since it is larger than the sum of its proper divisors (33560825917).

3004006004003 is a wasteful number, since it uses less digits than its factorization.

3004006004003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13478.

The product of its (nonzero) digits is 864, while the sum is 20.

The spelling of 3004006004003 in words is "three trillion, four billion, six million, four thousand, three".