3340044122257 has 2 divisors, whose sum is σ = 3340044122258. Its totient is φ = 3340044122256.

The previous prime is 3340044122209. The next prime is 3340044122269. The reversal of 3340044122257 is 7522214400433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2646686474496 + 693357647761 = 1626864^2 + 832681^2 .

It is a cyclic number.

It is not a de Polignac number, because 3340044122257 - 2¹¹ = 3340044120209 is a prime.

It is a super-2 number, since 2×3340044122257² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3340044122357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1670022061128 + 1670022061129.

It is an arithmetic number, because the mean of its divisors is an integer number (1670022061129).

Almost surely, 2^{3340044122257} is an apocalyptic number.

It is an amenable number.

3340044122257 is a deficient number, since it is larger than the sum of its proper divisors (1).

3340044122257 is an equidigital number, since it uses as much as digits as its factorization.

3340044122257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 37.

The spelling of 3340044122257 in words is "three trillion, three hundred forty billion, forty-four million, one hundred twenty-two thousand, two hundred fifty-seven".