34406328 has 64 divisors (see below), whose sum is σ = 95644800. Its totient is φ = 10225280.

The previous prime is 34406297. The next prime is 34406329. The reversal of 34406328 is 82360443.

It is a junction number, because it is equal to n+sod(n) for n = 34406295 and 34406304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34406329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12763 + ... + 15221.

It is an arithmetic number, because the mean of its divisors is an integer number (1494450).

Almost surely, 2^34406328 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 34406328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47822400).

34406328 is an abundant number, since it is smaller than the sum of its proper divisors (61238472).

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

34406328 is a wasteful number, since it uses less digits than its factorization.

34406328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 34406328 is about 5865.6907521621. The cubic root of 34406328 is about 325.2466073064.

The spelling of 34406328 in words is "thirty-four million, four hundred six thousand, three hundred twenty-eight".