33440420 has 48 divisors (see below), whose sum is σ = 77496048. Its totient is φ = 12042240.

The previous prime is 33440419. The next prime is 33440423. The reversal of 33440420 is 2404433.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 996004 + 32444416 = 998^2 + 5696^2 .

It is a super-2 number, since 2×33440420² = 2236523379552800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33440392 and 33440401.

It is not an unprimeable number, because it can be changed into a prime (33440423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9092 + ... + 12228.

It is an arithmetic number, because the mean of its divisors is an integer number (1614501).

Almost surely, 2^33440420 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 33440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38748024).

33440420 is an abundant number, since it is smaller than the sum of its proper divisors (44055628).

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

33440420 is a wasteful number, since it uses less digits than its factorization.

33440420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 33440420 is about 5782.7692328157. The cubic root of 33440420 is about 322.1740632654.

Adding to 33440420 its reverse (2404433), we get a palindrome (35844853).

The spelling of 33440420 in words is "thirty-three million, four hundred forty thousand, four hundred twenty".