33338020 has 48 divisors (see below), whose sum is σ = 76543488. Its totient is φ = 12142080.

The previous prime is 33337981. The next prime is 33338021. The reversal of 33338020 is 2083333.

It is a super-2 number, since 2×33338020² = 2222847155040800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33337982 and 33338000.

It is not an unprimeable number, because it can be changed into a prime (33338021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8959 + ... + 12121.

It is an arithmetic number, because the mean of its divisors is an integer number (1594656).

Almost surely, 2^33338020 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 33338020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38271744).

33338020 is an abundant number, since it is smaller than the sum of its proper divisors (43205468).

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

33338020 is a wasteful number, since it uses less digits than its factorization.

33338020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 33338020 is about 5773.9085548699. The cubic root of 33338020 is about 321.8448772514.

The spelling of 33338020 in words is "thirty-three million, three hundred thirty-eight thousand, twenty".