34485604209 has 81 divisors (see below), whose sum is σ = 59803832907. Its totient is φ = 19093239648.

The previous prime is 34485604187. The next prime is 34485604249. The reversal of 34485604209 is 90240658443.

The square root of 34485604209 is 185703.

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

34485604209 is a `hidden beast` number, since 3 + 4 + 48 + 560 + 42 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30858192225 + 3627411984 = 175665^2 + 60228^2 .

It is not a de Polignac number, because 34485604209 - 2¹⁵ = 34485571441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34485604249) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 144291112 + ... + 144291350.

Almost surely, 2^34485604209 is an apocalyptic number.

34485604209 is the 185703-rd square number.

34485604209 is the 92852-nd centered octagonal number.

It is an amenable number.

34485604209 is a deficient number, since it is larger than the sum of its proper divisors (25318228698).

34485604209 is an equidigital number, since it uses as much as digits as its factorization.

34485604209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 34485604209 in words is "thirty-four billion, four hundred eighty-five million, six hundred four thousand, two hundred nine".