3004134104089 has 2 divisors, whose sum is σ = 3004134104090. Its totient is φ = 3004134104088.

The previous prime is 3004134103987. The next prime is 3004134104129. The reversal of 3004134104089 is 9804014314003.

3004134104089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2311798611600 + 692335492489 = 1520460^2 + 832067^2 .

It is a cyclic number.

It is not a de Polignac number, because 3004134104089 - 2⁷ = 3004134103961 is a prime.

It is not a weakly prime, because it can be changed into another prime (3004134174089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502067052044 + 1502067052045.

It is an arithmetic number, because the mean of its divisors is an integer number (1502067052045).

Almost surely, 2^{3004134104089} is an apocalyptic number.

It is an amenable number.

3004134104089 is a deficient number, since it is larger than the sum of its proper divisors (1).

3004134104089 is an equidigital number, since it uses as much as digits as its factorization.

3004134104089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 3004134104089 in words is "three trillion, four billion, one hundred thirty-four million, one hundred four thousand, eighty-nine".