34451328 has 64 divisors (see below), whose sum is σ = 92840400. Its totient is φ = 11317248.

The previous prime is 34451317. The next prime is 34451341. The reversal of 34451328 is 82315443.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 34451295 and 34451304.

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 7 ways as a sum of consecutive naturals, for example, 27418 + ... + 28646.

Almost surely, 2^34451328 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 34451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46420200).

34451328 is an abundant number, since it is smaller than the sum of its proper divisors (58389072).

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

34451328 is a wasteful number, since it uses less digits than its factorization.

34451328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1307 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 34451328 is about 5869.5253641159. The cubic root of 34451328 is about 325.3883420973.

The spelling of 34451328 in words is "thirty-four million, four hundred fifty-one thousand, three hundred twenty-eight".