34680 has 48 divisors (see below), whose sum is σ = 110520. Its totient is φ = 8704.

The previous prime is 34679. The next prime is 34687. The reversal of 34680 is 8643.

34680 is nontrivially palindromic in base 16.

34680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2032 + ... + 2048.

2³⁴⁶⁸⁰ is an apocalyptic number.

34680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55260).

34680 is an abundant number, since it is smaller than the sum of its proper divisors (75840).

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

34680 is a wasteful number, since it uses less digits than its factorization.

34680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 34680 is about 186.2256695518. The cubic root of 34680 is about 32.6106680932.

The spelling of 34680 in words is "thirty-four thousand, six hundred eighty".