34111411134312 has 128 divisors (see below), whose sum is σ = 91412489606400. Its totient is φ = 10569436889088.

The previous prime is 34111411134289. The next prime is 34111411134347. The reversal of 34111411134312 is 21343111411143.

It is a happy number.

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 34111411134312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31679208 + ... + 32738280.

It is an arithmetic number, because the mean of its divisors is an integer number (714160075050).

Almost surely, 2^{34111411134312} 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 34111411134312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45706244803200).

34111411134312 is an abundant number, since it is smaller than the sum of its proper divisors (57301078472088).

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

34111411134312 is a wasteful number, since it uses less digits than its factorization.

34111411134312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060075 (or 1060071 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

Adding to 34111411134312 its reverse (21343111411143), we get a palindrome (55454522545455).

The spelling of 34111411134312 in words is "thirty-four trillion, one hundred eleven billion, four hundred eleven million, one hundred thirty-four thousand, three hundred twelve".