33040000 has 160 divisors (see below), whose sum is σ = 95594400. Its totient is φ = 11136000.

The previous prime is 33039997. The next prime is 33040009. The reversal of 33040000 is 4033.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (33040009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 559971 + ... + 560029.

It is an arithmetic number, because the mean of its divisors is an integer number (597465).

Almost surely, 2^33040000 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 33040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47797200).

33040000 is an abundant number, since it is smaller than the sum of its proper divisors (62554400).

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

33040000 is an frugal number, since it uses more digits than its factorization.

33040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 33040000 is about 5748.0431452800. The cubic root of 33040000 is about 320.8829780189.

Adding to 33040000 its reverse (4033), we get a palindrome (33044033).

The spelling of 33040000 in words is "thirty-three million, forty thousand".