34306638922112 has 256 divisors, whose sum is σ = 72884297472000. Its totient is φ = 16039690813440.

The previous prime is 34306638922091. The next prime is 34306638922123. The reversal of 34306638922112 is 21122983660343.

It is a congruent number.

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, 46803054098 + ... + 46803054830.

It is an arithmetic number, because the mean of its divisors is an integer number (284704287000).

Almost surely, 2^{34306638922112} is an apocalyptic number.

34306638922112 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 34306638922112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36442148736000).

34306638922112 is an abundant number, since it is smaller than the sum of its proper divisors (38577658549888).

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

34306638922112 is a wasteful number, since it uses less digits than its factorization.

34306638922112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 50.

The spelling of 34306638922112 in words is "thirty-four trillion, three hundred six billion, six hundred thirty-eight million, nine hundred twenty-two thousand, one hundred twelve".