34675943328 has 144 divisors (see below), whose sum is σ = 107691607296. Its totient is φ = 10519165440.

The previous prime is 34675943321. The next prime is 34675943329. The reversal of 34675943328 is 82334957643.

34675943328 is a `hidden beast` number, since 3 + 46 + 7 + 594 + 3 + 3 + 2 + 8 = 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 (34675943321) 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, 200601 + ... + 331047.

It is an arithmetic number, because the mean of its divisors is an integer number (747858384).

Almost surely, 2^34675943328 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 34675943328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53845803648).

34675943328 is an abundant number, since it is smaller than the sum of its proper divisors (73015663968).

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

34675943328 is a wasteful number, since it uses less digits than its factorization.

34675943328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130547 (or 130536 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 34675943328 in words is "thirty-four billion, six hundred seventy-five million, nine hundred forty-three thousand, three hundred twenty-eight".