8429838309 has 36 divisors (see below), whose sum is σ = 12497564196. Its totient is φ = 5473488384.

The previous prime is 8429838299. The next prime is 8429838323. The reversal of 8429838309 is 9038389248.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2045029284 + 6384809025 = 45222^2 + 79905^2 .

It is not a de Polignac number, because 8429838309 - 2²⁸ = 8161402853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8429838409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25014189 + ... + 25014525.

It is an arithmetic number, because the mean of its divisors is an integer number (347154561).

Almost surely, 2^8429838309 is an apocalyptic number.

It is an amenable number.

8429838309 is a deficient number, since it is larger than the sum of its proper divisors (4067725887).

8429838309 is a wasteful number, since it uses less digits than its factorization.

8429838309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 8429838309 is about 91814.1509191258. The cubic root of 8429838309 is about 2035.1968175682.

The spelling of 8429838309 in words is "eight billion, four hundred twenty-nine million, eight hundred thirty-eight thousand, three hundred nine".