33385008 has 80 divisors (see below), whose sum is σ = 92244096. Its totient is φ = 10368000.

The previous prime is 33384997. The next prime is 33385013. The reversal of 33385008 is 80058333.

It is a super-2 number, since 2×33385008² = 2229117518320128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132883 + ... + 133133.

Almost surely, 2^33385008 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 33385008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46122048).

33385008 is an abundant number, since it is smaller than the sum of its proper divisors (58859088).

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

33385008 is a wasteful number, since it uses less digits than its factorization.

33385008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 33385008 is about 5777.9761162539. The cubic root of 33385008 is about 321.9960134789.

The spelling of 33385008 in words is "thirty-three million, three hundred eighty-five thousand, eight".