34257800441 has 2 divisors, whose sum is σ = 34257800442. Its totient is φ = 34257800440.

The previous prime is 34257800347. The next prime is 34257800453. The reversal of 34257800441 is 14400875243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17769956416 + 16487844025 = 133304^2 + 128405^2 .

It is a cyclic number.

It is not a de Polignac number, because 34257800441 - 2¹⁰ = 34257799417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34257800395 and 34257800404.

It is not a weakly prime, because it can be changed into another prime (34257800341) 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, 17128900220 + 17128900221.

It is an arithmetic number, because the mean of its divisors is an integer number (17128900221).

Almost surely, 2^34257800441 is an apocalyptic number.

It is an amenable number.

34257800441 is a deficient number, since it is larger than the sum of its proper divisors (1).

34257800441 is an equidigital number, since it uses as much as digits as its factorization.

34257800441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 34257800441 in words is "thirty-four billion, two hundred fifty-seven million, eight hundred thousand, four hundred forty-one".