34334114124 has 96 divisors (see below), whose sum is σ = 85828946112. Its totient is φ = 10644480000.

The previous prime is 34334114063. The next prime is 34334114189. The reversal of 34334114124 is 42141143343.

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

It is a junction number, because it is equal to n+sod(n) for n = 34334114091 and 34334114100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13617984 + ... + 13620504.

It is an arithmetic number, because the mean of its divisors is an integer number (894051522).

Almost surely, 2^34334114124 is an apocalyptic number.

34334114124 is a gapful number since it is divisible by the number (34) 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 34334114124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42914473056).

34334114124 is an abundant number, since it is smaller than the sum of its proper divisors (51494831988).

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

34334114124 is a wasteful number, since it uses less digits than its factorization.

34334114124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3305 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 34334114124 its reverse (42141143343), we get a palindrome (76475257467).

The spelling of 34334114124 in words is "thirty-four billion, three hundred thirty-four million, one hundred fourteen thousand, one hundred twenty-four".