34350 has 24 divisors (see below), whose sum is σ = 85560. Its totient is φ = 9120.

The previous prime is 34337. The next prime is 34351. The reversal of 34350 is 5343.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34351) by changing a digit.

34350 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (3565).

2³⁴³⁵⁰ is an apocalyptic number.

34350 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 34350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42780).

34350 is an abundant number, since it is smaller than the sum of its proper divisors (51210).

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

34350 is a wasteful number, since it uses less digits than its factorization.

34350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 34350 is about 185.3375299285. The cubic root of 34350 is about 32.5069018872.

Adding to 34350 its reverse (5343), we get a palindrome (39693).

It can be divided in two parts, 343 and 50, that added together give a palindrome (393).

The spelling of 34350 in words is "thirty-four thousand, three hundred fifty".