34830 has 40 divisors (see below), whose sum is σ = 95832. Its totient is φ = 9072.

The previous prime is 34819. The next prime is 34841. The reversal of 34830 is 3843.

34830 is nontrivially palindromic in base 14.

34830 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34819) and next prime (34841).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

34830 is strictly pandigital in base 6.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34830.

It is an unprimeable number.

34830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 19 ways as a sum of consecutive naturals, for example, 789 + ... + 831.

2³⁴⁸³⁰ is an apocalyptic number.

34830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47916).

34830 is an abundant number, since it is smaller than the sum of its proper divisors (61002).

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

34830 is a wasteful number, since it uses less digits than its factorization.

34830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34830 is about 186.6279721799. The cubic root of 34830 is about 32.6576170036.

It can be divided in two parts, 348 and 30, that multiplied together give a triangular number (10440 = T₁₄₄).

The spelling of 34830 in words is "thirty-four thousand, eight hundred thirty".