34233105312 has 144 divisors (see below), whose sum is σ = 111316645440. Its totient is φ = 9775696896.

The previous prime is 34233105311. The next prime is 34233105359. The reversal of 34233105312 is 21350133243.

34233105312 is a `hidden beast` number, since 34 + 2 + 3 + 310 + 5 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (34233105311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5405764 + ... + 5412092.

It is an arithmetic number, because the mean of its divisors is an integer number (773032260).

Almost surely, 2^34233105312 is an apocalyptic number.

34233105312 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 34233105312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55658322720).

34233105312 is an abundant number, since it is smaller than the sum of its proper divisors (77083540128).

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

34233105312 is a wasteful number, since it uses less digits than its factorization.

34233105312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9035 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 34233105312 its reverse (21350133243), we get a palindrome (55583238555).

The spelling of 34233105312 in words is "thirty-four billion, two hundred thirty-three million, one hundred five thousand, three hundred twelve".