33442120 has 32 divisors (see below), whose sum is σ = 75411000. Its totient is φ = 13347328.

The previous prime is 33442093. The next prime is 33442127. The reversal of 33442120 is 2124433.

It can be written as a sum of positive squares in 4 ways, for example, as 31651876 + 1790244 = 5626^2 + 1338^2 .

It is a super-2 number, since 2×33442120² = 2236750780188800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33442127) 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 7 ways as a sum of consecutive naturals, for example, 31356 + ... + 32404.

Almost surely, 2^33442120 is an apocalyptic number.

It is an amenable number.

33442120 is an abundant number, since it is smaller than the sum of its proper divisors (41968880).

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

33442120 is a wasteful number, since it uses less digits than its factorization.

33442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 33442120 is about 5782.9162193482. The cubic root of 33442120 is about 322.1795225931.

Adding to 33442120 its reverse (2124433), we get a palindrome (35566553).

The spelling of 33442120 in words is "thirty-three million, four hundred forty-two thousand, one hundred twenty".