33440020 has 48 divisors (see below), whose sum is σ = 75660480. Its totient is φ = 12368384.

The previous prime is 33440009. The next prime is 33440021. The reversal of 33440020 is 2004433.

It is a super-2 number, since 2×33440020² = 2236469875200800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33439976 and 33440003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33440021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19227 + ... + 20893.

It is an arithmetic number, because the mean of its divisors is an integer number (1576260).

Almost surely, 2^33440020 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 33440020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37830240).

33440020 is an abundant number, since it is smaller than the sum of its proper divisors (42220460).

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

33440020 is a wasteful number, since it uses less digits than its factorization.

33440020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 33440020 is about 5782.7346472063. The cubic root of 33440020 is about 322.1727786909.

Adding to 33440020 its reverse (2004433), we get a palindrome (35444453).

The spelling of 33440020 in words is "thirty-three million, four hundred forty thousand, twenty".