34124290289 has 2 divisors, whose sum is σ = 34124290290. Its totient is φ = 34124290288.

The previous prime is 34124290271. The next prime is 34124290337. The reversal of 34124290289 is 98209242143.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31989111025 + 2135179264 = 178855^2 + 46208^2 .

It is a cyclic number.

It is not a de Polignac number, because 34124290289 - 2¹⁶ = 34124224753 is a prime.

It is not a weakly prime, because it can be changed into another prime (34124290489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17062145144 + 17062145145.

It is an arithmetic number, because the mean of its divisors is an integer number (17062145145).

Almost surely, 2^34124290289 is an apocalyptic number.

It is an amenable number.

34124290289 is a deficient number, since it is larger than the sum of its proper divisors (1).

34124290289 is an equidigital number, since it uses as much as digits as its factorization.

34124290289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 34124290289 in words is "thirty-four billion, one hundred twenty-four million, two hundred ninety thousand, two hundred eighty-nine".