34441145244 has 108 divisors (see below), whose sum is σ = 99238112792. Its totient is φ = 10436675040.

The previous prime is 34441145243. The next prime is 34441145293. The reversal of 34441145244 is 44254114443.

34441145244 is a `hidden beast` number, since 34 + 441 + 145 + 2 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34441145199 and 34441145208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34441145243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28807 + ... + 264030.

Almost surely, 2^34441145244 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 34441145244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49619056396).

34441145244 is an abundant number, since it is smaller than the sum of its proper divisors (64796967548).

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

34441145244 is a wasteful number, since it uses less digits than its factorization.

34441145244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292878 (or 292853 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 34441145244 its reverse (44254114443), we get a palindrome (78695259687).

The spelling of 34441145244 in words is "thirty-four billion, four hundred forty-one million, one hundred forty-five thousand, two hundred forty-four".