33040800 has 216 divisors, whose sum is σ = 125827884. Its totient is φ = 8110080.

The previous prime is 33040789. The next prime is 33040801. The reversal of 33040800 is 804033.

It can be written as a sum of positive squares in 6 ways, for example, as 5035536 + 28005264 = 2244^2 + 5292^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33040801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93424 + ... + 93776.

Almost surely, 2^33040800 is an apocalyptic number.

33040800 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 33040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62913942).

33040800 is an abundant number, since it is smaller than the sum of its proper divisors (92787084).

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

33040800 is a wasteful number, since it uses less digits than its factorization.

33040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33040800 is about 5748.1127337588. The cubic root of 33040800 is about 320.8855678526.

Adding to 33040800 its reverse (804033), we get a palindrome (33844833).

The spelling of 33040800 in words is "thirty-three million, forty thousand, eight hundred".