34341328 has 40 divisors (see below), whose sum is σ = 78106112. Its totient is φ = 14318208.

The previous prime is 34341287. The next prime is 34341337. The reversal of 34341328 is 82314343.

34341328 is a nontrivial binomial coefficient, being equal to C(8288, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34341296 and 34341305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 8287.

Almost surely, 2^34341328 is an apocalyptic number.

34341328 is the 8287-th triangular number and also the 4144-th hexagonal number.

34341328 is the 2763-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34341328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39053056).

34341328 is an abundant number, since it is smaller than the sum of its proper divisors (43764784).

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

34341328 is a wasteful number, since it uses less digits than its factorization.

34341328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8339 (or 8333 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 34341328 is about 5860.1474384183. The cubic root of 34341328 is about 325.0416609316.

The spelling of 34341328 in words is "thirty-four million, three hundred forty-one thousand, three hundred twenty-eight".