34155938200327 has 2 divisors, whose sum is σ = 34155938200328. Its totient is φ = 34155938200326.

The previous prime is 34155938200231. The next prime is 34155938200403. The reversal of 34155938200327 is 72300283955143.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34155938200327 is a prime.

It is a super-3 number, since 3×34155938200327³ (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 (34155938207327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17077969100163 + 17077969100164.

It is an arithmetic number, because the mean of its divisors is an integer number (17077969100164).

Almost surely, 2^{34155938200327} is an apocalyptic number.

34155938200327 is a deficient number, since it is larger than the sum of its proper divisors (1).

34155938200327 is an equidigital number, since it uses as much as digits as its factorization.

34155938200327 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 34155938200327 in words is "thirty-four trillion, one hundred fifty-five billion, nine hundred thirty-eight million, two hundred thousand, three hundred twenty-seven".