3400002400097 has 2 divisors, whose sum is σ = 3400002400098. Its totient is φ = 3400002400096.

The previous prime is 3400002400033. The next prime is 3400002400099. The reversal of 3400002400097 is 7900042000043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1861412720896 + 1538589679201 = 1364336^2 + 1240399^2 .

It is an emirp because it is prime and its reverse (7900042000043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3400002400097 - 2⁶ = 3400002400033 is a prime.

Together with 3400002400099, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3400002400099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1700001200048 + 1700001200049.

It is an arithmetic number, because the mean of its divisors is an integer number (1700001200049).

Almost surely, 2^{3400002400097} is an apocalyptic number.

It is an amenable number.

3400002400097 is a deficient number, since it is larger than the sum of its proper divisors (1).

3400002400097 is an equidigital number, since it uses as much as digits as its factorization.

3400002400097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 3400002400097 in words is "three trillion, four hundred billion, two million, four hundred thousand, ninety-seven".