33442024 has 48 divisors (see below), whose sum is σ = 78513120. Its totient is φ = 12973440.

The previous prime is 33442001. The next prime is 33442039. The reversal of 33442024 is 42024433.

It is a super-2 number, since 2×33442024² = 2236737938433152, 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 = 33441986 and 33442004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143412 + ... + 143644.

It is an arithmetic number, because the mean of its divisors is an integer number (1635690).

Almost surely, 2^33442024 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 33442024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39256560).

33442024 is an abundant number, since it is smaller than the sum of its proper divisors (45071096).

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

33442024 is a wasteful number, since it uses less digits than its factorization.

33442024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 253 counting only the distinct ones).

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

The square root of 33442024 is about 5782.9079190317. The cubic root of 33442024 is about 322.1792143065.

Adding to 33442024 its reverse (42024433), we get a palindrome (75466457).

The spelling of 33442024 in words is "thirty-three million, four hundred forty-two thousand, twenty-four".