34205605434 has 144 divisors (see below), whose sum is σ = 100261639296. Its totient is φ = 8201096640.

The previous prime is 34205605409. The next prime is 34205605457. The reversal of 34205605434 is 43450650243.

34205605434 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 5 + 605 + 43 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111907 + ... + 284489.

It is an arithmetic number, because the mean of its divisors is an integer number (696261384).

Almost surely, 2^34205605434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34205605434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50130819648).

34205605434 is an abundant number, since it is smaller than the sum of its proper divisors (66056033862).

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

34205605434 is a wasteful number, since it uses less digits than its factorization.

34205605434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172633 (or 172619 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 34205605434 in words is "thirty-four billion, two hundred five million, six hundred five thousand, four hundred thirty-four".