34030605100 has 144 divisors (see below), whose sum is σ = 79126873056. Its totient is φ = 12659200000.

The previous prime is 34030605073. The next prime is 34030605107. The reversal of 34030605100 is 150603043.

It is not an unprimeable number, because it can be changed into a prime (34030605107) 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 47 ways as a sum of consecutive naturals, for example, 73818870 + ... + 73819330.

It is an arithmetic number, because the mean of its divisors is an integer number (549492174).

Almost surely, 2^34030605100 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 34030605100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39563436528).

34030605100 is an abundant number, since it is smaller than the sum of its proper divisors (45096267956).

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

34030605100 is a wasteful number, since it uses less digits than its factorization.

34030605100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The spelling of 34030605100 in words is "thirty-four billion, thirty million, six hundred five thousand, one hundred".