34688 has 16 divisors (see below), whose sum is σ = 69360. Its totient is φ = 17280.

The previous prime is 34687. The next prime is 34693. The reversal of 34688 is 88643.

It is a tau number, because it is divible by the number of its divisors (16).

It is an Ulam number.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 34688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (4335).

2³⁴⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

34688 is a deficient number, since it is larger than the sum of its proper divisors (34672).

34688 is an equidigital number, since it uses as much as digits as its factorization.

34688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 34688 is about 186.2471476292. The cubic root of 34688 is about 32.6131754489.

It can be divided in two parts, 346 and 88, that added together give a palindrome (434).

The spelling of 34688 in words is "thirty-four thousand, six hundred eighty-eight".