34055005000 has 80 divisors (see below), whose sum is σ = 80000563500. Its totient is φ = 13586208000.

The previous prime is 34055004989. The next prime is 34055005001. The reversal of 34055005000 is 50055043.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 16779057156 + 17275947844 = 129534^2 + 131438^2 .

It is not an unprimeable number, because it can be changed into a prime (34055005001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1936246 + ... + 1953754.

Almost surely, 2^34055005000 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 34055005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40000281750).

34055005000 is an abundant number, since it is smaller than the sum of its proper divisors (45945558500).

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

34055005000 is a wasteful number, since it uses less digits than its factorization.

34055005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17924 (or 17905 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The spelling of 34055005000 in words is "thirty-four billion, fifty-five million, five thousand".