34112120406 has 256 divisors, whose sum is σ = 92490854400. Its totient is φ = 8129544192.

The previous prime is 34112120369. The next prime is 34112120431. The reversal of 34112120406 is 60402121143.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95019655 + ... + 95020013.

It is an arithmetic number, because the mean of its divisors is an integer number (361292400).

Almost surely, 2^34112120406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34112120406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46245427200).

34112120406 is an abundant number, since it is smaller than the sum of its proper divisors (58378733994).

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

34112120406 is a wasteful number, since it uses less digits than its factorization.

34112120406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783.

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

Adding to 34112120406 its reverse (60402121143), we get a palindrome (94514241549).

The spelling of 34112120406 in words is "thirty-four billion, one hundred twelve million, one hundred twenty thousand, four hundred six".