34442411312 has 60 divisors (see below), whose sum is σ = 70206756480. Its totient is φ = 16366905984.

The previous prime is 34442411239. The next prime is 34442411323. The reversal of 34442411312 is 21311424443.

It is a super-2 number, since 2×34442411312² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1315889 + ... + 1341807.

It is an arithmetic number, because the mean of its divisors is an integer number (1170112608).

Almost surely, 2^34442411312 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 34442411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35103378240).

34442411312 is an abundant number, since it is smaller than the sum of its proper divisors (35764345168).

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

34442411312 is a wasteful number, since it uses less digits than its factorization.

34442411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26130 (or 26101 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 34442411312 its reverse (21311424443), we get a palindrome (55753835755).

The spelling of 34442411312 in words is "thirty-four billion, four hundred forty-two million, four hundred eleven thousand, three hundred twelve".