34232441120 has 96 divisors (see below), whose sum is σ = 81375195888. Its totient is φ = 13608419328.

The previous prime is 34232441101. The next prime is 34232441143. The reversal of 34232441120 is 2114423243.

It can be written as a sum of positive squares in 8 ways, for example, as 26923559056 + 7308882064 = 164084^2 + 85492^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34232441120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27673142 + ... + 27674378.

Almost surely, 2^34232441120 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 34232441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40687597944).

34232441120 is an abundant number, since it is smaller than the sum of its proper divisors (47142754768).

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

34232441120 is a wasteful number, since it uses less digits than its factorization.

34232441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34232441120 its reverse (2114423243), we get a palindrome (36346864363).

The spelling of 34232441120 in words is "thirty-four billion, two hundred thirty-two million, four hundred forty-one thousand, one hundred twenty".