34106661620 has 48 divisors (see below), whose sum is σ = 74357816400. Its totient is φ = 13125288960.

The previous prime is 34106661551. The next prime is 34106661647. The reversal of 34106661620 is 2616660143.

It can be written as a sum of positive squares in 8 ways, for example, as 1167315556 + 32939346064 = 34166^2 + 181492^2 .

It is a super-2 number, since 2×34106661620² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 58346 + ... + 267614.

It is an arithmetic number, because the mean of its divisors is an integer number (1549121175).

Almost surely, 2^34106661620 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 34106661620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37178908200).

34106661620 is an abundant number, since it is smaller than the sum of its proper divisors (40251154780).

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

34106661620 is a wasteful number, since it uses less digits than its factorization.

34106661620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209588 (or 209586 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 34106661620 in words is "thirty-four billion, one hundred six million, six hundred sixty-one thousand, six hundred twenty".