33808820 has 12 divisors (see below), whose sum is σ = 70998564. Its totient is φ = 13523520.

The previous prime is 33808813. The next prime is 33808837. The reversal of 33808820 is 2880833.

It can be written as a sum of positive squares in 2 ways, for example, as 26604964 + 7203856 = 5158^2 + 2684^2 .

It is a super-2 number, since 2×33808820² = 2286072619584800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 845201 + ... + 845240.

It is an arithmetic number, because the mean of its divisors is an integer number (5916547).

Almost surely, 2^33808820 is an apocalyptic number.

It is an amenable number.

33808820 is an abundant number, since it is smaller than the sum of its proper divisors (37189744).

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

33808820 is a wasteful number, since it uses less digits than its factorization.

33808820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690450 (or 1690448 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 33808820 is about 5814.5352350811. The cubic root of 33808820 is about 323.3528335802.

It can be divided in two parts, 3380 and 8820, that multiplied together give a square (29811600 = 5460²).

The spelling of 33808820 in words is "thirty-three million, eight hundred eight thousand, eight hundred twenty".