34034443411100 has 144 divisors (see below), whose sum is σ = 81305039644416. Its totient is φ = 12263131776000.

The previous prime is 34034443411093. The next prime is 34034443411123. The reversal of 34034443411100 is 111434443043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456268007 + ... + 456342593.

It is an arithmetic number, because the mean of its divisors is an integer number (564618330864).

Almost surely, 2^{34034443411100} 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 34034443411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40652519822208).

34034443411100 is an abundant number, since it is smaller than the sum of its proper divisors (47270596233316).

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

34034443411100 is a wasteful number, since it uses less digits than its factorization.

34034443411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78396 (or 78389 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 34034443411100 its reverse (111434443043), we get a palindrome (34145877854143).

The spelling of 34034443411100 in words is "thirty-four trillion, thirty-four billion, four hundred forty-three million, four hundred eleven thousand, one hundred".