34409137009 has 27 divisors (see below), whose sum is σ = 39376273419. Its totient is φ = 30050514000.

The previous prime is 34409136997. The next prime is 34409137073. The reversal of 34409137009 is 90073190443.

It is a happy number.

The square root of 34409137009 is 185497.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5090109025 + 29319027984 = 71345^2 + 171228^2 .

It is a de Polignac number, because none of the positive numbers 2^k-34409137009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34409137099) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45817384 + ... + 45818134.

It is an arithmetic number, because the mean of its divisors is an integer number (1458380497).

Almost surely, 2^34409137009 is an apocalyptic number.

34409137009 is the 185497-th square number.

34409137009 is the 92749-th centered octagonal number.

It is an amenable number.

34409137009 is a deficient number, since it is larger than the sum of its proper divisors (4967136410).

34409137009 is an frugal number, since it uses more digits than its factorization.

34409137009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 34409137009 in words is "thirty-four billion, four hundred nine million, one hundred thirty-seven thousand, nine".