3405312329 has 2 divisors, whose sum is σ = 3405312330. Its totient is φ = 3405312328.

The previous prime is 3405312293. The next prime is 3405312349. The reversal of 3405312329 is 9232135043.

Together with previous prime (3405312293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3332175625 + 73136704 = 57725^2 + 8552^2 .

It is an emirp because it is prime and its reverse (9232135043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3405312329 - 2²⁴ = 3388535113 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3405312295 and 3405312304.

It is not a weakly prime, because it can be changed into another prime (3405312349) 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, 1702656164 + 1702656165.

It is an arithmetic number, because the mean of its divisors is an integer number (1702656165).

Almost surely, 2^3405312329 is an apocalyptic number.

It is an amenable number.

3405312329 is a deficient number, since it is larger than the sum of its proper divisors (1).

3405312329 is an equidigital number, since it uses as much as digits as its factorization.

3405312329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 3405312329 is about 58355.0540141983. The cubic root of 3405312329 is about 1504.4773377415.

The spelling of 3405312329 in words is "three billion, four hundred five million, three hundred twelve thousand, three hundred twenty-nine".