3034314414401 has 2 divisors, whose sum is σ = 3034314414402. Its totient is φ = 3034314414400.

The previous prime is 3034314414359. The next prime is 3034314414403. The reversal of 3034314414401 is 1044144134303.

3034314414401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2346947400625 + 687367013776 = 1531975^2 + 829076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3034314414401 is a prime.

It is a super-3 number, since 3×3034314414401³ (a number of 38 digits) contains 333 as substring.

Together with 3034314414403, 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 (3034314414403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1517157207200 + 1517157207201.

It is an arithmetic number, because the mean of its divisors is an integer number (1517157207201).

Almost surely, 2^{3034314414401} is an apocalyptic number.

It is an amenable number.

3034314414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3034314414401 is an equidigital number, since it uses as much as digits as its factorization.

3034314414401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 3034314414401 its reverse (1044144134303), we get a palindrome (4078458548704).

The spelling of 3034314414401 in words is "three trillion, thirty-four billion, three hundred fourteen million, four hundred fourteen thousand, four hundred one".