33242820 has 192 divisors, whose sum is σ = 111767040. Its totient is φ = 7299072.

The previous prime is 33242779. The next prime is 33242821. The reversal of 33242820 is 2824233.

It is a super-3 number, since 3×33242820³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (33242821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304926 + ... + 305034.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 2^33242820 is an apocalyptic number.

33242820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33242820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

33242820 is an abundant number, since it is smaller than the sum of its proper divisors (78524220).

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

33242820 is a wasteful number, since it uses less digits than its factorization.

33242820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 33242820 is about 5765.6586787634. The cubic root of 33242820 is about 321.5382319308.

The spelling of 33242820 in words is "thirty-three million, two hundred forty-two thousand, eight hundred twenty".