34111344100 has 72 divisors (see below), whose sum is σ = 78004382400. Its totient is φ = 12911990400.

The previous prime is 34111344097. The next prime is 34111344121. The reversal of 34111344100 is 144311143.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1778361 + ... + 1797439.

It is an arithmetic number, because the mean of its divisors is an integer number (1083394200).

Almost surely, 2^34111344100 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 34111344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39002191200).

34111344100 is an abundant number, since it is smaller than the sum of its proper divisors (43893038300).

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

34111344100 is a wasteful number, since it uses less digits than its factorization.

34111344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20053 (or 20046 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 34111344100 its reverse (144311143), we get a palindrome (34255655243).

The spelling of 34111344100 in words is "thirty-four billion, one hundred eleven million, three hundred forty-four thousand, one hundred".