34475328 has 112 divisors (see below), whose sum is σ = 103144320. Its totient is φ = 11289600.

The previous prime is 34475327. The next prime is 34475347. The reversal of 34475328 is 82357443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34475292 and 34475301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34475323) 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, 122548 + ... + 122828.

Almost surely, 2^34475328 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 34475328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51572160).

34475328 is an abundant number, since it is smaller than the sum of its proper divisors (68668992).

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

34475328 is a wasteful number, since it uses less digits than its factorization.

34475328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 357 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 34475328 is about 5871.5694665055. The cubic root of 34475328 is about 325.4638835249.

The spelling of 34475328 in words is "thirty-four million, four hundred seventy-five thousand, three hundred twenty-eight".