3401007344353 has 2 divisors, whose sum is σ = 3401007344354. Its totient is φ = 3401007344352.

The previous prime is 3401007344291. The next prime is 3401007344407. The reversal of 3401007344353 is 3534437001043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2959112122849 + 441895221504 = 1720207^2 + 664752^2 .

It is a cyclic number.

It is not a de Polignac number, because 3401007344353 - 2¹³ = 3401007336161 is a prime.

It is not a weakly prime, because it can be changed into another prime (3401007324353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1700503672176 + 1700503672177.

It is an arithmetic number, because the mean of its divisors is an integer number (1700503672177).

Almost surely, 2^{3401007344353} is an apocalyptic number.

It is an amenable number.

3401007344353 is a deficient number, since it is larger than the sum of its proper divisors (1).

3401007344353 is an equidigital number, since it uses as much as digits as its factorization.

3401007344353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 37.

The spelling of 3401007344353 in words is "three trillion, four hundred one billion, seven million, three hundred forty-four thousand, three hundred fifty-three".