33840096 has 96 divisors (see below), whose sum is σ = 93477888. Its totient is φ = 10705920.

The previous prime is 33840073. The next prime is 33840101. The reversal of 33840096 is 69004833.

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

It is a super-2 number, since 2×33840096² = 2290304194578432, which contains 22 as substring.

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, 246940 + ... + 247076.

It is an arithmetic number, because the mean of its divisors is an integer number (973728).

Almost surely, 2^33840096 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 33840096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46738944).

33840096 is an abundant number, since it is smaller than the sum of its proper divisors (59637792).

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

33840096 is a wasteful number, since it uses less digits than its factorization.

33840096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

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

The square root of 33840096 is about 5817.2240802637. The cubic root of 33840096 is about 323.4525123653.

The spelling of 33840096 in words is "thirty-three million, eight hundred forty thousand, ninety-six".