34441244112 has 160 divisors (see below), whose sum is σ = 103187395584. Its totient is φ = 9783040000.

The previous prime is 34441244087. The next prime is 34441244137. The reversal of 34441244112 is 21144214443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34441244087) and next prime (34441244137).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34441244112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2245333 + ... + 2260619.

Almost surely, 2^34441244112 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 34441244112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51593697792).

34441244112 is an abundant number, since it is smaller than the sum of its proper divisors (68746151472).

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

34441244112 is a wasteful number, since it uses less digits than its factorization.

34441244112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15577 (or 15571 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 34441244112 its reverse (21144214443), we get a palindrome (55585458555).

The spelling of 34441244112 in words is "thirty-four billion, four hundred forty-one million, two hundred forty-four thousand, one hundred twelve".