34111224132 has 192 divisors, whose sum is σ = 89088491520. Its totient is φ = 10109159424.

The previous prime is 34111224127. The next prime is 34111224143. The reversal of 34111224132 is 23142211143.

It is a super-2 number, since 2×34111224132² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62360283 + ... + 62360829.

It is an arithmetic number, because the mean of its divisors is an integer number (464002560).

Almost surely, 2^34111224132 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 34111224132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44544245760).

34111224132 is an abundant number, since it is smaller than the sum of its proper divisors (54977267388).

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

34111224132 is a wasteful number, since it uses less digits than its factorization.

34111224132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 808 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 34111224132 its reverse (23142211143), we get a palindrome (57253435275).

The spelling of 34111224132 in words is "thirty-four billion, one hundred eleven million, two hundred twenty-four thousand, one hundred thirty-two".