33680808 has 96 divisors (see below), whose sum is σ = 110410560. Its totient is φ = 9054720.

The previous prime is 33680807. The next prime is 33680827. The reversal of 33680808 is 80808633.

It is a super-2 number, since 2×33680808² = 2268793655065728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33680807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6603 + ... + 10533.

It is an arithmetic number, because the mean of its divisors is an integer number (1150110).

Almost surely, 2^33680808 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 33680808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55205280).

33680808 is an abundant number, since it is smaller than the sum of its proper divisors (76729752).

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

33680808 is a wasteful number, since it uses less digits than its factorization.

33680808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 33680808 is about 5803.5168647984. The cubic root of 33680808 is about 322.9442084942.

The spelling of 33680808 in words is "thirty-three million, six hundred eighty thousand, eight hundred eight".