34334412120 has 192 divisors, whose sum is σ = 112633597440. Its totient is φ = 9070387200.

The previous prime is 34334412109. The next prime is 34334412157. The reversal of 34334412120 is 2121443343.

34334412120 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 441 + 212 + 0 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 19320672 + ... + 19322448.

It is an arithmetic number, because the mean of its divisors is an integer number (586633320).

Almost surely, 2^34334412120 is an apocalyptic number.

34334412120 is a gapful number since it is divisible by the number (30) 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 34334412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56316798720).

34334412120 is an abundant number, since it is smaller than the sum of its proper divisors (78299185320).

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

34334412120 is a wasteful number, since it uses less digits than its factorization.

34334412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34334412120 its reverse (2121443343), we get a palindrome (36455855463).

The spelling of 34334412120 in words is "thirty-four billion, three hundred thirty-four million, four hundred twelve thousand, one hundred twenty".