34211041144 has 96 divisors (see below), whose sum is σ = 75551598720. Its totient is φ = 14226020928.

The previous prime is 34211041129. The next prime is 34211041153. The reversal of 34211041144 is 44114011243.

It is a congruent 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, 16876659 + ... + 16878685.

It is an arithmetic number, because the mean of its divisors is an integer number (786995820).

Almost surely, 2^34211041144 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 34211041144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37775799360).

34211041144 is an abundant number, since it is smaller than the sum of its proper divisors (41340557576).

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

34211041144 is a wasteful number, since it uses less digits than its factorization.

34211041144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 34211041144 its reverse (44114011243), we get a palindrome (78325052387).

The spelling of 34211041144 in words is "thirty-four billion, two hundred eleven million, forty-one thousand, one hundred forty-four".