3213330912 has 144 divisors (see below), whose sum is σ = 10338112512. Its totient is φ = 973710720.

The previous prime is 3213330907. The next prime is 3213330917. The reversal of 3213330912 is 2190333123.

3213330912 is a `hidden beast` number, since 321 + 3 + 330 + 9 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3213330907) and next prime (3213330917).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×3213330912³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213330917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66753 + ... + 104319.

It is an arithmetic number, because the mean of its divisors is an integer number (71792448).

Almost surely, 2^3213330912 is an apocalyptic number.

3213330912 is a gapful number since it is divisible by the number (32) 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 3213330912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169056256).

3213330912 is an abundant number, since it is smaller than the sum of its proper divisors (7124781600).

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

3213330912 is a wasteful number, since it uses less digits than its factorization.

3213330912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37603 (or 37583 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3213330912 is about 56686.2497612957. The cubic root of 3213330912 is about 1475.6560769180.

The spelling of 3213330912 in words is "three billion, two hundred thirteen million, three hundred thirty thousand, nine hundred twelve".