3414693382337 has 2 divisors, whose sum is σ = 3414693382338. Its totient is φ = 3414693382336.

The previous prime is 3414693382333. The next prime is 3414693382367. The reversal of 3414693382337 is 7332833964143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2148924378241 + 1265769004096 = 1465921^2 + 1125064^2 .

It is a cyclic number.

It is not a de Polignac number, because 3414693382337 - 2² = 3414693382333 is a prime.

It is a super-2 number, since 2×3414693382337² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3414693382333) 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, 1707346691168 + 1707346691169.

It is an arithmetic number, because the mean of its divisors is an integer number (1707346691169).

Almost surely, 2^{3414693382337} is an apocalyptic number.

It is an amenable number.

3414693382337 is a deficient number, since it is larger than the sum of its proper divisors (1).

3414693382337 is an equidigital number, since it uses as much as digits as its factorization.

3414693382337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23514624, while the sum is 56.

The spelling of 3414693382337 in words is "three trillion, four hundred fourteen billion, six hundred ninety-three million, three hundred eighty-two thousand, three hundred thirty-seven".