34452 has 48 divisors (see below), whose sum is σ = 100800. Its totient is φ = 10080.

The previous prime is 34439. The next prime is 34457. The reversal of 34452 is 25443.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34457) by changing a digit.

34452 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1174 + ... + 1202.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

2³⁴⁴⁵² 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 34452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400).

34452 is an abundant number, since it is smaller than the sum of its proper divisors (66348).

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

34452 is a wasteful number, since it uses less digits than its factorization.

34452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 45 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 34452 is about 185.6124995791. The cubic root of 34452 is about 32.5390457735.

Adding to 34452 its reverse (25443), we get a palindrome (59895).

Subtracting from 34452 its reverse (25443), we obtain a palindrome (9009).

The spelling of 34452 in words is "thirty-four thousand, four hundred fifty-two".