34706406141759 has 16 divisors (see below), whose sum is σ = 50501218247424. Its totient is φ = 21026196811200.

The previous prime is 34706406141731. The next prime is 34706406141779. The reversal of 34706406141759 is 95714160460743.

It is not a de Polignac number, because 34706406141759 - 2³² = 34702111174463 is a prime.

It is a super-2 number, since 2×34706406141759² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34706406141699 and 34706406141708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34706406141779) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199630027 + ... + 199803804.

It is an arithmetic number, because the mean of its divisors is an integer number (3156326140464).

Almost surely, 2^{34706406141759} is an apocalyptic number.

34706406141759 is a deficient number, since it is larger than the sum of its proper divisors (15794812105665).

34706406141759 is a wasteful number, since it uses less digits than its factorization.

34706406141759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399436478.

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 34706406141759 in words is "thirty-four trillion, seven hundred six billion, four hundred six million, one hundred forty-one thousand, seven hundred fifty-nine".