3400583365409 has 2 divisors, whose sum is σ = 3400583365410. Its totient is φ = 3400583365408.

The previous prime is 3400583365363. The next prime is 3400583365441. The reversal of 3400583365409 is 9045633850043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3227987155600 + 172596209809 = 1796660^2 + 415447^2 .

It is a cyclic number.

It is not a de Polignac number, because 3400583365409 - 2²⁸ = 3400314929953 is a prime.

It is not a weakly prime, because it can be changed into another prime (3400585365409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1700291682704 + 1700291682705.

It is an arithmetic number, because the mean of its divisors is an integer number (1700291682705).

Almost surely, 2^{3400583365409} is an apocalyptic number.

It is an amenable number.

3400583365409 is a deficient number, since it is larger than the sum of its proper divisors (1).

3400583365409 is an equidigital number, since it uses as much as digits as its factorization.

3400583365409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4665600, while the sum is 50.

The spelling of 3400583365409 in words is "three trillion, four hundred billion, five hundred eighty-three million, three hundred sixty-five thousand, four hundred nine".