3434434010009 has 16 divisors (see below), whose sum is σ = 3497872874640. Its totient is φ = 3371465825280.

The previous prime is 3434434009997. The next prime is 3434434010053. The reversal of 3434434010009 is 9000104344343.

3434434010009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 189921640000 + 3244512370009 = 435800^2 + 1801253^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3434434010009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3434434010309) 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, 17894447 + ... + 18085355.

It is an arithmetic number, because the mean of its divisors is an integer number (218617054665).

Almost surely, 2^{3434434010009} is an apocalyptic number.

It is an amenable number.

3434434010009 is a deficient number, since it is larger than the sum of its proper divisors (63438864631).

3434434010009 is a wasteful number, since it uses less digits than its factorization.

3434434010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192140.

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 3434434010009 in words is "three trillion, four hundred thirty-four billion, four hundred thirty-four million, ten thousand, nine".