34298339328 has 560 divisors, whose sum is σ = 115705396224. Its totient is φ = 10032906240.

The previous prime is 34298339321. The next prime is 34298339329. The reversal of 34298339328 is 82393389243.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (34298339321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270065601 + ... + 270065727.

Almost surely, 2^34298339328 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 34298339328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57852698112).

34298339328 is an abundant number, since it is smaller than the sum of its proper divisors (81407056896).

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

34298339328 is a wasteful number, since it uses less digits than its factorization.

34298339328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 180 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 34298339328 in words is "thirty-four billion, two hundred ninety-eight million, three hundred thirty-nine thousand, three hundred twenty-eight".