34326768 has 120 divisors (see below), whose sum is σ = 107338368. Its totient is φ = 9258624.

The previous prime is 34326751. The next prime is 34326797. The reversal of 34326768 is 86762343.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121155 + ... + 121437.

Almost surely, 2^34326768 is an apocalyptic number.

34326768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34326768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53669184).

34326768 is an abundant number, since it is smaller than the sum of its proper divisors (73011600).

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

34326768 is a wasteful number, since it uses less digits than its factorization.

34326768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 314 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 34326768 is about 5858.9050171512. The cubic root of 34326768 is about 324.9957174978.

The spelling of 34326768 in words is "thirty-four million, three hundred twenty-six thousand, seven hundred sixty-eight".