34132949120 has 128 divisors (see below), whose sum is σ = 83495404800. Its totient is φ = 13337026560.

The previous prime is 34132949119. The next prime is 34132949159. The reversal of 34132949120 is 2194923143.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 25838060 + ... + 25839380.

It is an arithmetic number, because the mean of its divisors is an integer number (652307850).

Almost surely, 2^34132949120 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 34132949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41747702400).

34132949120 is an abundant number, since it is smaller than the sum of its proper divisors (49362455680).

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

34132949120 is a wasteful number, since it uses less digits than its factorization.

34132949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 34132949120 in words is "thirty-four billion, one hundred thirty-two million, nine hundred forty-nine thousand, one hundred twenty".