3536434346353 has 2 divisors, whose sum is σ = 3536434346354. Its totient is φ = 3536434346352.

The previous prime is 3536434346351. The next prime is 3536434346377.

3536434346353 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2633388963984 + 903045382369 = 1622772^2 + 950287^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3536434346353 - 2¹ = 3536434346351 is a prime.

Together with 3536434346351, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 3536434346353.

It is not a weakly prime, because it can be changed into another prime (3536434346351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1768217173176 + 1768217173177.

It is an arithmetic number, because the mean of its divisors is an integer number (1768217173177).

Almost surely, 2^{3536434346353} is an apocalyptic number.

It is an amenable number.

3536434346353 is a deficient number, since it is larger than the sum of its proper divisors (1).

3536434346353 is an equidigital number, since it uses as much as digits as its factorization.

3536434346353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41990400, while the sum is 52.

The spelling of 3536434346353 in words is "three trillion, five hundred thirty-six billion, four hundred thirty-four million, three hundred forty-six thousand, three hundred fifty-three".