34105605640 has 64 divisors (see below), whose sum is σ = 78646302000. Its totient is φ = 13303234560.

The previous prime is 34105605631. The next prime is 34105605673. The reversal of 34105605640 is 4650650143.

It can be written as a sum of positive squares in 8 ways, for example, as 6195893796 + 27909711844 = 78714^2 + 167062^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34105605596 and 34105605605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5095416 + ... + 5102104.

Almost surely, 2^34105605640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34105605640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39323151000).

34105605640 is an abundant number, since it is smaller than the sum of its proper divisors (44540696360).

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

34105605640 is a wasteful number, since it uses less digits than its factorization.

34105605640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9850 (or 9846 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 34105605640 in words is "thirty-four billion, one hundred five million, six hundred five thousand, six hundred forty".