33404008 has 32 divisors (see below), whose sum is σ = 68765760. Its totient is φ = 15086080.

The previous prime is 33404003. The next prime is 33404011. The reversal of 33404008 is 80040433.

It is a super-2 number, since 2×33404008² = 2231655500928128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a self number, because there is not a number n which added to its sum of digits gives 33404008.

It is not an unprimeable number, because it can be changed into a prime (33404003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13560 + ... + 15832.

It is an arithmetic number, because the mean of its divisors is an integer number (2148930).

Almost surely, 2^33404008 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 33404008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34382880).

33404008 is an abundant number, since it is smaller than the sum of its proper divisors (35361752).

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

33404008 is a wasteful number, since it uses less digits than its factorization.

33404008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 33404008 is about 5779.6200567165. The cubic root of 33404008 is about 322.0570864413.

The spelling of 33404008 in words is "thirty-three million, four hundred four thousand, eight".