33806120 has 64 divisors (see below), whose sum is σ = 79488000. Its totient is φ = 12925440.

The previous prime is 33806117. The next prime is 33806147. The reversal of 33806120 is 2160833.

It is a super-2 number, since 2×33806120² = 2285707498908800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 169781 + ... + 169979.

It is an arithmetic number, because the mean of its divisors is an integer number (1242000).

Almost surely, 2^33806120 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 33806120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39744000).

33806120 is an abundant number, since it is smaller than the sum of its proper divisors (45681880).

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

33806120 is a wasteful number, since it uses less digits than its factorization.

33806120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 33806120 is about 5814.3030536772. The cubic root of 33806120 is about 323.3442256106.

Adding to 33806120 its reverse (2160833), we get a palindrome (35966953).

The spelling of 33806120 in words is "thirty-three million, eight hundred six thousand, one hundred twenty".