33840100 has 72 divisors (see below), whose sum is σ = 86869440. Its totient is φ = 11195520.

The previous prime is 33840073. The next prime is 33840101. The reversal of 33840100 is 104833.

It is a super-2 number, since 2×33840100² = 2290304736020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33840101) 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, 19467 + ... + 21133.

It is an arithmetic number, because the mean of its divisors is an integer number (1206520).

Almost surely, 2^33840100 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 33840100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43434720).

33840100 is an abundant number, since it is smaller than the sum of its proper divisors (53029340).

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

33840100 is a wasteful number, since it uses less digits than its factorization.

33840100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 33840100 is about 5817.2244240703. The cubic root of 33840100 is about 323.4525251097.

Adding to 33840100 its reverse (104833), we get a palindrome (33944933).

The spelling of 33840100 in words is "thirty-three million, eight hundred forty thousand, one hundred".