34026106000 has 160 divisors (see below), whose sum is σ = 86725922400. Its totient is φ = 12892006400.

The previous prime is 34026105989. The next prime is 34026106003. The reversal of 34026106000 is 60162043.

It can be written as a sum of positive squares in 16 ways, for example, as 27275183104 + 6750922896 = 165152^2 + 82164^2 .

It is not an unprimeable number, because it can be changed into a prime (34026106003) by changing a digit.

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, 3068466 + ... + 3079534.

It is an arithmetic number, because the mean of its divisors is an integer number (542037015).

Almost surely, 2^34026106000 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 34026106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43362961200).

34026106000 is an abundant number, since it is smaller than the sum of its proper divisors (52699816400).

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

34026106000 is a wasteful number, since it uses less digits than its factorization.

34026106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11174 (or 11158 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 34026106000 its reverse (60162043), we get a palindrome (34086268043).

The spelling of 34026106000 in words is "thirty-four billion, twenty-six million, one hundred six thousand".