3200414320349 has 2 divisors, whose sum is σ = 3200414320350. Its totient is φ = 3200414320348.

The previous prime is 3200414320319. The next prime is 3200414320381. The reversal of 3200414320349 is 9430234140023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2251329196249 + 949085124100 = 1500443^2 + 974210^2 .

It is a cyclic number.

It is not a de Polignac number, because 3200414320349 - 2⁸ = 3200414320093 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3200414320319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1600207160174 + 1600207160175.

It is an arithmetic number, because the mean of its divisors is an integer number (1600207160175).

Almost surely, 2^{3200414320349} is an apocalyptic number.

It is an amenable number.

3200414320349 is a deficient number, since it is larger than the sum of its proper divisors (1).

3200414320349 is an equidigital number, since it uses as much as digits as its factorization.

3200414320349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 3200414320349 in words is "three trillion, two hundred billion, four hundred fourteen million, three hundred twenty thousand, three hundred forty-nine".