3300213000 has 256 divisors, whose sum is σ = 12057776640. Its totient is φ = 735744000.

The previous prime is 3300212969. The next prime is 3300213017. The reversal of 3300213000 is 3120033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 859084 + ... + 862916.

It is an arithmetic number, because the mean of its divisors is an integer number (47100690).

Almost surely, 2^3300213000 is an apocalyptic number.

3300213000 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 3300213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028888320).

3300213000 is an abundant number, since it is smaller than the sum of its proper divisors (8757563640).

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

3300213000 is a wasteful number, since it uses less digits than its factorization.

3300213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3300213000 is about 57447.4803625015. The cubic root of 3300213000 is about 1488.8375841417.

Adding to 3300213000 its reverse (3120033), we get a palindrome (3303333033).

The spelling of 3300213000 in words is "three billion, three hundred million, two hundred thirteen thousand".