34413216606 has 80 divisors (see below), whose sum is σ = 79085445120. Its totient is φ = 11179440720.

The previous prime is 34413216601. The next prime is 34413216659. The reversal of 34413216606 is 60661231443.

34413216606 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 32 + 16 + 606 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34413216601) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1810291 + ... + 1829201.

It is an arithmetic number, because the mean of its divisors is an integer number (988568064).

Almost surely, 2^34413216606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34413216606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39542722560).

34413216606 is an abundant number, since it is smaller than the sum of its proper divisors (44672228514).

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

34413216606 is a wasteful number, since it uses less digits than its factorization.

34413216606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19211 (or 19202 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34413216606 in words is "thirty-four billion, four hundred thirteen million, two hundred sixteen thousand, six hundred six".