33084408 has 64 divisors (see below), whose sum is σ = 96480000. Its totient is φ = 9450336.

The previous prime is 33084383. The next prime is 33084421. The reversal of 33084408 is 80448033.

It is a zygodrome in base 7.

It is a congruent number.

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, 6223 + ... + 10241.

It is an arithmetic number, because the mean of its divisors is an integer number (1507500).

Almost surely, 2^33084408 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 33084408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48240000).

33084408 is an abundant number, since it is smaller than the sum of its proper divisors (63395592).

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

33084408 is a wasteful number, since it uses less digits than its factorization.

33084408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 33084408 is about 5751.9047280010. The cubic root of 33084408 is about 321.0266764837.

The spelling of 33084408 in words is "thirty-three million, eighty-four thousand, four hundred eight".