33442000 has 80 divisors (see below), whose sum is σ = 84494592. Its totient is φ = 12777600.

The previous prime is 33441983. The next prime is 33442001. The reversal of 33442000 is 24433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33442000² = 2236734728000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33442001) 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, 45637 + ... + 46363.

Almost surely, 2^33442000 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 33442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42247296).

33442000 is an abundant number, since it is smaller than the sum of its proper divisors (51052592).

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

33442000 is a wasteful number, since it uses less digits than its factorization.

33442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 757 counting only the distinct ones).

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

The square root of 33442000 is about 5782.9058439508. The cubic root of 33442000 is about 322.1791372348.

Adding to 33442000 its reverse (24433), we get a palindrome (33466433).

The spelling of 33442000 in words is "thirty-three million, four hundred forty-two thousand".