34441041100 has 72 divisors (see below), whose sum is σ = 75420950528. Its totient is φ = 13650638400.

The previous prime is 34441041071. The next prime is 34441041109. The reversal of 34441041100 is 114014443.

It is not an unprimeable number, because it can be changed into a prime (34441041109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15632599 + ... + 15634801.

Almost surely, 2^34441041100 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 34441041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37710475264).

34441041100 is an abundant number, since it is smaller than the sum of its proper divisors (40979909428).

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

34441041100 is a wasteful number, since it uses less digits than its factorization.

34441041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 34441041100 its reverse (114014443), we get a palindrome (34555055543).

The spelling of 34441041100 in words is "thirty-four billion, four hundred forty-one million, forty-one thousand, one hundred".