34928431201 has 2 divisors, whose sum is σ = 34928431202. Its totient is φ = 34928431200.

The previous prime is 34928431199. The next prime is 34928431243. The reversal of 34928431201 is 10213482943.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31990899600 + 2937531601 = 178860^2 + 54199^2 .

It is a cyclic number.

It is not a de Polignac number, because 34928431201 - 2¹ = 34928431199 is a prime.

Together with 34928431199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34928434201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17464215600 + 17464215601.

It is an arithmetic number, because the mean of its divisors is an integer number (17464215601).

Almost surely, 2^34928431201 is an apocalyptic number.

It is an amenable number.

34928431201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34928431201 is an equidigital number, since it uses as much as digits as its factorization.

34928431201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 34928431201 in words is "thirty-four billion, nine hundred twenty-eight million, four hundred thirty-one thousand, two hundred one".