33388820 has 12 divisors (see below), whose sum is σ = 70116564. Its totient is φ = 13355520.

The previous prime is 33388787. The next prime is 33388841. The reversal of 33388820 is 2888333.

It can be written as a sum of positive squares in 2 ways, for example, as 14760964 + 18627856 = 3842^2 + 4316^2 .

It is a super-2 number, since 2×33388820² = 2229626601984800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 834701 + ... + 834740.

It is an arithmetic number, because the mean of its divisors is an integer number (5843047).

Almost surely, 2^33388820 is an apocalyptic number.

It is an amenable number.

33388820 is an abundant number, since it is smaller than the sum of its proper divisors (36727744).

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

33388820 is a wasteful number, since it uses less digits than its factorization.

33388820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669450 (or 1669448 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 33388820 is about 5778.3059801295. The cubic root of 33388820 is about 322.0082685016.

The spelling of 33388820 in words is "thirty-three million, three hundred eighty-eight thousand, eight hundred twenty".