34679328 has 96 divisors (see below), whose sum is σ = 96509952. Its totient is φ = 10886400.

The previous prime is 34679321. The next prime is 34679329. The reversal of 34679328 is 82397643.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 34679328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34679321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 127833 + ... + 128103.

It is an arithmetic number, because the mean of its divisors is an integer number (1005312).

Almost surely, 2^34679328 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 34679328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48254976).

34679328 is an abundant number, since it is smaller than the sum of its proper divisors (61830624).

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

34679328 is a wasteful number, since it uses less digits than its factorization.

34679328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 34679328 is about 5888.9156896665. The cubic root of 34679328 is about 326.1045745782.

The spelling of 34679328 in words is "thirty-four million, six hundred seventy-nine thousand, three hundred twenty-eight".