34359688 has 48 divisors (see below), whose sum is σ = 72147600. Its totient is φ = 15213120.

The previous prime is 34359683. The next prime is 34359691. The reversal of 34359688 is 88695343.

It is not an unprimeable number, because it can be changed into a prime (34359683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247123 + ... + 247261.

It is an arithmetic number, because the mean of its divisors is an integer number (1503075).

Almost surely, 2^34359688 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 34359688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36073800).

34359688 is an abundant number, since it is smaller than the sum of its proper divisors (37787912).

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

34359688 is a wasteful number, since it uses less digits than its factorization.

34359688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 205 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 34359688 is about 5861.7137425842. The cubic root of 34359688 is about 325.0995765883.

It can be divided in two parts, 343 and 59688, that added together give a triangular number (60031 = T₃₄₆).

The spelling of 34359688 in words is "thirty-four million, three hundred fifty-nine thousand, six hundred eighty-eight".