34050582785 has 8 divisors (see below), whose sum is σ = 40981949736. Its totient is φ = 27159632640.

The previous prime is 34050582773. The next prime is 34050582793. The reversal of 34050582785 is 58728505043.

It is a Cunningham number, because it is equal to 184528²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 9182238976 + 24868343809 = 95824^2 + 157697^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34050582785 - 2³² = 29755615489 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10102346 + ... + 10105715.

It is an arithmetic number, because the mean of its divisors is an integer number (5122743717).

Almost surely, 2^34050582785 is an apocalyptic number.

It is an amenable number.

34050582785 is a deficient number, since it is larger than the sum of its proper divisors (6931366951).

34050582785 is a wasteful number, since it uses less digits than its factorization.

34050582785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20208403.

The product of its (nonzero) digits is 1344000, while the sum is 47.

The spelling of 34050582785 in words is "thirty-four billion, fifty million, five hundred eighty-two thousand, seven hundred eighty-five".