34316688 has 80 divisors (see below), whose sum is σ = 102354560. Its totient is φ = 9704448.

The previous prime is 34316687. The next prime is 34316747. The reversal of 34316688 is 88661343.

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

It is not an unprimeable number, because it can be changed into a prime (34316683) 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, 36156 + ... + 37092.

It is an arithmetic number, because the mean of its divisors is an integer number (1279432).

Almost surely, 2^34316688 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 34316688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51177280).

34316688 is an abundant number, since it is smaller than the sum of its proper divisors (68037872).

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

34316688 is a wasteful number, since it uses less digits than its factorization.

34316688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1058 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 34316688 is about 5858.0447249914. The cubic root of 34316688 is about 324.9639028943.

The spelling of 34316688 in words is "thirty-four million, three hundred sixteen thousand, six hundred eighty-eight".