34057595209 has 27 divisors (see below), whose sum is σ = 39553975629. Its totient is φ = 29298681720.

The previous prime is 34057595191. The next prime is 34057595219. The reversal of 34057595209 is 90259575043.

The square root of 34057595209 is 184547.

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

It is not a de Polignac number, because 34057595209 - 2⁵ = 34057595177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34057595219) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 38569882 + ... + 38570764.

Almost surely, 2^34057595209 is an apocalyptic number.

34057595209 is the 184547-th square number.

34057595209 is the 92274-th centered octagonal number.

It is an amenable number.

34057595209 is a deficient number, since it is larger than the sum of its proper divisors (5496380420).

34057595209 is an frugal number, since it uses more digits than its factorization.

34057595209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 49.

Multiplying 34057595209 by its sum of digits (49), we get a square (1668822165241 = 1291829²).

The spelling of 34057595209 in words is "thirty-four billion, fifty-seven million, five hundred ninety-five thousand, two hundred nine".