34233382120 has 128 divisors (see below), whose sum is σ = 94484620800. Its totient is φ = 10895302656.

The previous prime is 34233382063. The next prime is 34233382123. The reversal of 34233382120 is 2128333243.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34233382123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 298221 + ... + 396739.

It is an arithmetic number, because the mean of its divisors is an integer number (738161100).

Almost surely, 2^34233382120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34233382120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47242310400).

34233382120 is an abundant number, since it is smaller than the sum of its proper divisors (60251238680).

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

34233382120 is a wasteful number, since it uses less digits than its factorization.

34233382120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98627 (or 98623 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 34233382120 in words is "thirty-four billion, two hundred thirty-three million, three hundred eighty-two thousand, one hundred twenty".