34368 has 28 divisors (see below), whose sum is σ = 91440. Its totient is φ = 11392.

The previous prime is 34367. The next prime is 34369. The reversal of 34368 is 86343.

It is an interprime number because it is at equal distance from previous prime (34367) and next prime (34369).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34368.

It is not an unprimeable number, because it can be changed into a prime (34361) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103 + ... + 281.

2³⁴³⁶⁸ 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 34368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45720).

34368 is an abundant number, since it is smaller than the sum of its proper divisors (57072).

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

34368 is a wasteful number, since it uses less digits than its factorization.

34368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 34368 is about 185.3860836201. The cubic root of 34368 is about 32.5125789572.

Subtracting from 34368 its product of digits (1728), we obtain a triangular number (32640 = T₂₅₅).

It can be divided in two parts, 3 and 4368, that added together give a triangular number (4371 = T₉₃).

The spelling of 34368 in words is "thirty-four thousand, three hundred sixty-eight".