34323812928 has 84 divisors (see below), whose sum is σ = 98877729600. Its totient is φ = 11383739136.

The previous prime is 34323812921. The next prime is 34323813019. The reversal of 34323812928 is 82921832343.

34323812928 is a `hidden beast` number, since 34 + 323 + 8 + 1 + 292 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34323812921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35100 + ... + 264347.

Almost surely, 2^34323812928 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 34323812928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49438864800).

34323812928 is an abundant number, since it is smaller than the sum of its proper divisors (64553916672).

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

34323812928 is a wasteful number, since it uses less digits than its factorization.

34323812928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299664 (or 299651 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 34323812928 in words is "thirty-four billion, three hundred twenty-three million, eight hundred twelve thousand, nine hundred twenty-eight".