33275880 has 128 divisors (see below), whose sum is σ = 121046400. Its totient is φ = 8064000.

The previous prime is 33275873. The next prime is 33275881. The reversal of 33275880 is 8857233.

It is a super-2 number, since 2×33275880² = 2214568379548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33275881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10480 + ... + 13280.

It is an arithmetic number, because the mean of its divisors is an integer number (945675).

Almost surely, 2^33275880 is an apocalyptic number.

33275880 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 33275880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60523200).

33275880 is an abundant number, since it is smaller than the sum of its proper divisors (87770520).

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

33275880 is a wasteful number, since it uses less digits than its factorization.

33275880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 33275880 is about 5768.5249414387. The cubic root of 33275880 is about 321.6447865896.

The spelling of 33275880 in words is "thirty-three million, two hundred seventy-five thousand, eight hundred eighty".