33030000 has 150 divisors (see below), whose sum is σ = 115825424. Its totient is φ = 8784000.

The previous prime is 33029987. The next prime is 33030007. The reversal of 33030000 is 3033.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33030007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89817 + ... + 90183.

Almost surely, 2^33030000 is an apocalyptic number.

33030000 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 33030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57912712).

33030000 is an abundant number, since it is smaller than the sum of its proper divisors (82795424).

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

33030000 is a wasteful number, since it uses less digits than its factorization.

33030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 9.

The square root of 33030000 is about 5747.1732182004. The cubic root of 33030000 is about 320.8506015705.

Adding to 33030000 its reverse (3033), we get a palindrome (33033033).

The spelling of 33030000 in words is "thirty-three million, thirty thousand".