33442420 has 48 divisors (see below), whose sum is σ = 77728896. Its totient is φ = 11984000.

The previous prime is 33442363. The next prime is 33442421. The reversal of 33442420 is 2424433.

It is a super-2 number, since 2×33442420² = 2236790910912800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 33442391 and 33442400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33442421) 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, 14550 + ... + 16690.

It is an arithmetic number, because the mean of its divisors is an integer number (1619352).

Almost surely, 2^33442420 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 33442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38864448).

33442420 is an abundant number, since it is smaller than the sum of its proper divisors (44286476).

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

33442420 is a wasteful number, since it uses less digits than its factorization.

33442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 33442420 is about 5782.9421577602. The cubic root of 33442420 is about 322.1804859846.

Adding to 33442420 its reverse (2424433), we get a palindrome (35866853).

The spelling of 33442420 in words is "thirty-three million, four hundred forty-two thousand, four hundred twenty".