3303332000 has 96 divisors (see below), whose sum is σ = 8396453520. Its totient is φ = 1275724800.

The previous prime is 3303331961. The next prime is 3303332003. The reversal of 3303332000 is 2333033.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 87534736 + 3215797264 = 9356^2 + 56708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3303332000.

It is not an unprimeable number, because it can be changed into a prime (3303332003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101762 + ... + 130238.

Almost surely, 2^3303332000 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 3303332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198226760).

3303332000 is an abundant number, since it is smaller than the sum of its proper divisors (5093121520).

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

3303332000 is a wasteful number, since it uses less digits than its factorization.

3303332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28531 (or 28513 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 17.

The square root of 3303332000 is about 57474.6204859153. The cubic root of 3303332000 is about 1489.3064652202.

Adding to 3303332000 its reverse (2333033), we get a palindrome (3305665033).

The spelling of 3303332000 in words is "three billion, three hundred three million, three hundred thirty-two thousand".