34349328 has 120 divisors (see below), whose sum is σ = 105618240. Its totient is φ = 10356480.

The previous prime is 34349261. The next prime is 34349351. The reversal of 34349328 is 82394343.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 34349292 and 34349301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110293 + ... + 110603.

It is an arithmetic number, because the mean of its divisors is an integer number (880152).

Almost surely, 2^34349328 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 34349328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52809120).

34349328 is an abundant number, since it is smaller than the sum of its proper divisors (71268912).

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

34349328 is a wasteful number, since it uses less digits than its factorization.

34349328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 388 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 34349328 is about 5860.8299753533. The cubic root of 34349328 is about 325.0668990489.

The spelling of 34349328 in words is "thirty-four million, three hundred forty-nine thousand, three hundred twenty-eight".