3407313272849 has 2 divisors, whose sum is σ = 3407313272850. Its totient is φ = 3407313272848.

The previous prime is 3407313272767. The next prime is 3407313272851. The reversal of 3407313272849 is 9482723137043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3312691206400 + 94622066449 = 1820080^2 + 307607^2 .

It is a cyclic number.

It is not a de Polignac number, because 3407313272849 - 2¹⁶ = 3407313207313 is a prime.

Together with 3407313272851, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3407313272849.

It is not a weakly prime, because it can be changed into another prime (3407313271849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1703656636424 + 1703656636425.

It is an arithmetic number, because the mean of its divisors is an integer number (1703656636425).

Almost surely, 2^{3407313272849} is an apocalyptic number.

It is an amenable number.

3407313272849 is a deficient number, since it is larger than the sum of its proper divisors (1).

3407313272849 is an equidigital number, since it uses as much as digits as its factorization.

3407313272849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6096384, while the sum is 53.

The spelling of 3407313272849 in words is "three trillion, four hundred seven billion, three hundred thirteen million, two hundred seventy-two thousand, eight hundred forty-nine".