3300052000 has 288 divisors, whose sum is σ = 9579351600. Its totient is φ = 1113907200.

The previous prime is 3300051991. The next prime is 3300052003. The reversal of 3300052000 is 2500033.

It can be written as a sum of positive squares in 8 ways, for example, as 418939024 + 2881112976 = 20468^2 + 53676^2 .

It is not an unprimeable number, because it can be changed into a prime (3300052003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22147926 + ... + 22148074.

Almost surely, 2^3300052000 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 3300052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789675800).

3300052000 is an abundant number, since it is smaller than the sum of its proper divisors (6279299600).

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

3300052000 is a wasteful number, since it uses less digits than its factorization.

3300052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 3300052000 is about 57446.0790655028. The cubic root of 3300052000 is about 1488.8133729015.

Adding to 3300052000 its reverse (2500033), we get a palindrome (3302552033).

The spelling of 3300052000 in words is "three billion, three hundred million, fifty-two thousand".