33440 has 48 divisors (see below), whose sum is σ = 90720. Its totient is φ = 11520.

The previous prime is 33427. The next prime is 33457. The reversal of 33440 is 4433.

It is a super-2 number, since 2×33440² = 2236467200, which contains 22 as substring.

It is an unprimeable number.

33440 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 7 ways as a sum of consecutive naturals, for example, 1751 + ... + 1769.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2³³⁴⁴⁰ 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 33440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

33440 is an abundant number, since it is smaller than the sum of its proper divisors (57280).

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

33440 is a wasteful number, since it uses less digits than its factorization.

33440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 33440 is about 182.8660712106. The cubic root of 33440 is about 32.2172714462.

Adding to 33440 its reverse (4433), we get a palindrome (37873).

It can be divided in two parts, 3 and 3440, that added together give a palindrome (3443).

The spelling of 33440 in words is "thirty-three thousand, four hundred forty".