34346120043241 has 2 divisors, whose sum is σ = 34346120043242. Its totient is φ = 34346120043240.

The previous prime is 34346120043217. The next prime is 34346120043253. The reversal of 34346120043241 is 14234002164343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34311009153600 + 35110889641 = 5857560^2 + 187379^2 .

It is a cyclic number.

It is not a de Polignac number, because 34346120043241 - 2⁷ = 34346120043113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34346120043241.

It is not a weakly prime, because it can be changed into another prime (34346120043211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17173060021620 + 17173060021621.

It is an arithmetic number, because the mean of its divisors is an integer number (17173060021621).

Almost surely, 2^{34346120043241} is an apocalyptic number.

It is an amenable number.

34346120043241 is a deficient number, since it is larger than the sum of its proper divisors (1).

34346120043241 is an equidigital number, since it uses as much as digits as its factorization.

34346120043241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 37.

The spelling of 34346120043241 in words is "thirty-four trillion, three hundred forty-six billion, one hundred twenty million, forty-three thousand, two hundred forty-one".