34144241120 has 96 divisors (see below), whose sum is σ = 88052469120. Its totient is φ = 12408547840.

The previous prime is 34144241119. The next prime is 34144241149. The reversal of 34144241120 is 2114244143.

It is a self number, because there is not a number n which added to its sum of digits gives 34144241120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3478139 + ... + 3487941.

It is an arithmetic number, because the mean of its divisors is an integer number (917213220).

Almost surely, 2^34144241120 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 34144241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44026234560).

34144241120 is an abundant number, since it is smaller than the sum of its proper divisors (53908228000).

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

34144241120 is a wasteful number, since it uses less digits than its factorization.

34144241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11808 (or 11800 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 34144241120 its reverse (2114244143), we get a palindrome (36258485263).

The spelling of 34144241120 in words is "thirty-four billion, one hundred forty-four million, two hundred forty-one thousand, one hundred twenty".