34345504405 has 16 divisors (see below), whose sum is σ = 42425180784. Its totient is φ = 26680043520.

The previous prime is 34345504393. The next prime is 34345504483. The reversal of 34345504405 is 50440554343.

It can be written as a sum of positive squares in 8 ways, for example, as 4510196964 + 29835307441 = 67158^2 + 172729^2 .

It is not a de Polignac number, because 34345504405 - 2²⁹ = 33808633493 is a prime.

It is a super-2 number, since 2×34345504405² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 642366 + ... + 693775.

It is an arithmetic number, because the mean of its divisors is an integer number (2651573799).

Almost surely, 2^34345504405 is an apocalyptic number.

It is an amenable number.

34345504405 is a deficient number, since it is larger than the sum of its proper divisors (8079676379).

34345504405 is a wasteful number, since it uses less digits than its factorization.

34345504405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336296.

The product of its (nonzero) digits is 288000, while the sum is 37.

The spelling of 34345504405 in words is "thirty-four billion, three hundred forty-five million, five hundred four thousand, four hundred five".