33804960 has 96 divisors (see below), whose sum is σ = 121709952. Its totient is φ = 7726080.

The previous prime is 33804907. The next prime is 33804983. The reversal of 33804960 is 6940833.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33804960² = 2285550641203200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 1671 + ... + 8390.

It is an arithmetic number, because the mean of its divisors is an integer number (1267812).

Almost surely, 2^33804960 is an apocalyptic number.

33804960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60854976).

33804960 is an abundant number, since it is smaller than the sum of its proper divisors (87904992).

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

33804960 is a wasteful number, since it uses less digits than its factorization.

33804960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10086 (or 10078 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 33804960 is about 5814.2032988192. The cubic root of 33804960 is about 323.3405272310.

The spelling of 33804960 in words is "thirty-three million, eight hundred four thousand, nine hundred sixty".