34464 has 24 divisors (see below), whose sum is σ = 90720. Its totient is φ = 11456.

The previous prime is 34457. The next prime is 34469. The reversal of 34464 is 46443.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34469) by changing a digit.

34464 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 3 ways as a sum of consecutive naturals, for example, 84 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2³⁴⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

34464 is an abundant number, since it is smaller than the sum of its proper divisors (56256).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

34464 is a wasteful number, since it uses less digits than its factorization.

34464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 34464 is about 185.6448221740. The cubic root of 34464 is about 32.5428232341.

Subtracting from 34464 its sum of digits (21), we obtain a palindrome (34443).

The spelling of 34464 in words is "thirty-four thousand, four hundred sixty-four".