3300264000 has 560 divisors, whose sum is σ = 13347899136. Its totient is φ = 798336000.

The previous prime is 3300263987. The next prime is 3300264007. The reversal of 3300264000 is 4620033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3300264007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7127769 + ... + 7128231.

Almost surely, 2^3300264000 is an apocalyptic number.

3300264000 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 3300264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673949568).

3300264000 is an abundant number, since it is smaller than the sum of its proper divisors (10047635136).

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

3300264000 is a wasteful number, since it uses less digits than its factorization.

3300264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3300264000 is about 57447.9242444842. The cubic root of 3300264000 is about 1488.8452533766.

Adding to 3300264000 its reverse (4620033), we get a palindrome (3304884033).

The spelling of 3300264000 in words is "three billion, three hundred million, two hundred sixty-four thousand".