33870208 has 32 divisors (see below), whose sum is σ = 68133960. Its totient is φ = 16770048.

The previous prime is 33870163. The next prime is 33870209. The reversal of 33870208 is 80207833.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×33870208² = 2294381979926528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33870208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33870209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12460 + ... + 14932.

Almost surely, 2^33870208 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 33870208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34066980).

33870208 is an abundant number, since it is smaller than the sum of its proper divisors (34263752).

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

33870208 is a wasteful number, since it uses less digits than its factorization.

33870208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 33870208 is about 5819.8116808021. The cubic root of 33870208 is about 323.5484233871.

The spelling of 33870208 in words is "thirty-three million, eight hundred seventy thousand, two hundred eight".