34333334112 has 192 divisors, whose sum is σ = 114657984000. Its totient is φ = 8917655040.

The previous prime is 34333334099. The next prime is 34333334171. The reversal of 34333334112 is 21143333343.

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 34333334112.

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, 314814 + ... + 409602.

It is an arithmetic number, because the mean of its divisors is an integer number (597177000).

Almost surely, 2^34333334112 is an apocalyptic number.

34333334112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34333334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57328992000).

34333334112 is an abundant number, since it is smaller than the sum of its proper divisors (80324649888).

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

34333334112 is a wasteful number, since it uses less digits than its factorization.

34333334112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94834 (or 94812 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

Adding to 34333334112 its reverse (21143333343), we get a palindrome (55476667455).

The spelling of 34333334112 in words is "thirty-four billion, three hundred thirty-three million, three hundred thirty-four thousand, one hundred twelve".