3414104244337 has 2 divisors, whose sum is σ = 3414104244338. Its totient is φ = 3414104244336.

The previous prime is 3414104244323. The next prime is 3414104244377. The reversal of 3414104244337 is 7334424014143.

It is an a-pointer prime, because the next prime (3414104244377) can be obtained adding 3414104244337 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2573075854561 + 841028389776 = 1604081^2 + 917076^2 .

It is a cyclic number.

It is not a de Polignac number, because 3414104244337 - 2²⁷ = 3413970026609 is a prime.

It is a super-2 number, since 2×3414104244337² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3414104244337.

It is not a weakly prime, because it can be changed into another prime (3414104244377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1707052122168 + 1707052122169.

It is an arithmetic number, because the mean of its divisors is an integer number (1707052122169).

Almost surely, 2^{3414104244337} is an apocalyptic number.

It is an amenable number.

3414104244337 is a deficient number, since it is larger than the sum of its proper divisors (1).

3414104244337 is an equidigital number, since it uses as much as digits as its factorization.

3414104244337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 387072, while the sum is 40.

The spelling of 3414104244337 in words is "three trillion, four hundred fourteen billion, one hundred four million, two hundred forty-four thousand, three hundred thirty-seven".