34000022112 has 384 divisors, whose sum is σ = 111198044160. Its totient is φ = 8879984640.

The previous prime is 34000022107. The next prime is 34000022123. The reversal of 34000022112 is 21122000043.

It is a junction number, because it is equal to n+sod(n) for n = 34000022091 and 34000022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56012913 + ... + 56013519.

It is an arithmetic number, because the mean of its divisors is an integer number (289578240).

Almost surely, 2^34000022112 is an apocalyptic number.

34000022112 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 34000022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55599022080).

34000022112 is an abundant number, since it is smaller than the sum of its proper divisors (77198022048).

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

34000022112 is a wasteful number, since it uses less digits than its factorization.

34000022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 34000022112 its reverse (21122000043), we get a palindrome (55122022155).

The spelling of 34000022112 in words is "thirty-four billion, twenty-two thousand, one hundred twelve".