33808000 has 64 divisors (see below), whose sum is σ = 84094920. Its totient is φ = 13516800.

The previous prime is 33807989. The next prime is 33808007. The reversal of 33808000 is 80833.

It can be written as a sum of positive squares in 4 ways, for example, as 1272384 + 32535616 = 1128^2 + 5704^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33808000² = 2285961728000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33808007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14944 + ... + 17056.

Almost surely, 2^33808000 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 33808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42047460).

33808000 is an abundant number, since it is smaller than the sum of its proper divisors (50286920).

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

33808000 is an equidigital number, since it uses as much as digits as its factorization.

33808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 33808000 is about 5814.4647217091. The cubic root of 33808000 is about 323.3502193564.

Adding to 33808000 its reverse (80833), we get a palindrome (33888833).

It can be divided in two parts, 3380 and 8000, that multiplied together give a square (27040000 = 5200²).

The spelling of 33808000 in words is "thirty-three million, eight hundred eight thousand".