34269609906 has 72 divisors (see below), whose sum is σ = 87004174140. Its totient is φ = 9719813376.

The previous prime is 34269609893. The next prime is 34269609929. The reversal of 34269609906 is 60990696243.

34269609906 is a `hidden beast` number, since 3 + 4 + 26 + 9 + 609 + 9 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33802661025 + 466948881 = 183855^2 + 21609^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20971 + ... + 262638.

Almost surely, 2^34269609906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34269609906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43502087070).

34269609906 is an abundant number, since it is smaller than the sum of its proper divisors (52734564234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34269609906 is a wasteful number, since it uses less digits than its factorization.

34269609906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283768 (or 283758 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 34269609906 in words is "thirty-four billion, two hundred sixty-nine million, six hundred nine thousand, nine hundred six".