34405706616 has 128 divisors (see below), whose sum is σ = 94908844800. Its totient is φ = 10353208320.

The previous prime is 34405706609. The next prime is 34405706627. The reversal of 34405706616 is 61660750443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782530 + ... + 825326.

It is an arithmetic number, because the mean of its divisors is an integer number (741475350).

Almost surely, 2^34405706616 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 34405706616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47454422400).

34405706616 is an abundant number, since it is smaller than the sum of its proper divisors (60503138184).

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

34405706616 is a wasteful number, since it uses less digits than its factorization.

34405706616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42909 (or 42905 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 34405706616 in words is "thirty-four billion, four hundred five million, seven hundred six thousand, six hundred sixteen".