3400120040209 has 2 divisors, whose sum is σ = 3400120040210. Its totient is φ = 3400120040208.

The previous prime is 3400120040171. The next prime is 3400120040227. The reversal of 3400120040209 is 9020400210043.

3400120040209 is digitally balanced in base 3, 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., 3342874692609 + 57245347600 = 1828353^2 + 239260^2 .

It is a cyclic number.

It is not a de Polignac number, because 3400120040209 - 2²⁷ = 3399985822481 is a prime.

It is not a weakly prime, because it can be changed into another prime (3400120040249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1700060020104 + 1700060020105.

It is an arithmetic number, because the mean of its divisors is an integer number (1700060020105).

Almost surely, 2^{3400120040209} is an apocalyptic number.

It is an amenable number.

3400120040209 is a deficient number, since it is larger than the sum of its proper divisors (1).

3400120040209 is an equidigital number, since it uses as much as digits as its factorization.

3400120040209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 3400120040209 in words is "three trillion, four hundred billion, one hundred twenty million, forty thousand, two hundred nine".