34003241413327 has 2 divisors, whose sum is σ = 34003241413328. Its totient is φ = 34003241413326.

The previous prime is 34003241413301. The next prime is 34003241413381. The reversal of 34003241413327 is 72331414230043.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34003241413327 is a prime.

It is a super-3 number, since 3×34003241413327³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34003241413387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17001620706663 + 17001620706664.

It is an arithmetic number, because the mean of its divisors is an integer number (17001620706664).

Almost surely, 2^{34003241413327} is an apocalyptic number.

34003241413327 is a deficient number, since it is larger than the sum of its proper divisors (1).

34003241413327 is an equidigital number, since it uses as much as digits as its factorization.

34003241413327 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 37.

The spelling of 34003241413327 in words is "thirty-four trillion, three billion, two hundred forty-one million, four hundred thirteen thousand, three hundred twenty-seven".