34362 has 24 divisors (see below), whose sum is σ = 78624. Its totient is φ = 10824.

The previous prime is 34361. The next prime is 34367. The reversal of 34362 is 26343.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34362.

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

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, 373 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2³⁴³⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312).

34362 is an abundant number, since it is smaller than the sum of its proper divisors (44262).

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

34362 is a wasteful number, since it uses less digits than its factorization.

34362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 111 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 34362 is about 185.3699004693. The cubic root of 34362 is about 32.5106868208.

Subtracting from 34362 its product of digits (432), we obtain a triangular number (33930 = T₂₆₀).

The spelling of 34362 in words is "thirty-four thousand, three hundred sixty-two".