33420288 has 176 divisors, whose sum is σ = 103758336. Its totient is φ = 9461760.

The previous prime is 33420281. The next prime is 33420293. The reversal of 33420288 is 88202433.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×33420288² = 2233831300005888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33420281) 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, 777195 + ... + 777237.

It is an arithmetic number, because the mean of its divisors is an integer number (589536).

Almost surely, 2^33420288 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 33420288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51879168).

33420288 is an abundant number, since it is smaller than the sum of its proper divisors (70338048).

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

33420288 is a wasteful number, since it uses less digits than its factorization.

33420288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 33420288 is about 5781.0282822349. The cubic root of 33420288 is about 322.1093979068.

The spelling of 33420288 in words is "thirty-three million, four hundred twenty thousand, two hundred eighty-eight".