3331213200 has 360 divisors, whose sum is σ = 13415683008. Its totient is φ = 749675520.

The previous prime is 3331213169. The next prime is 3331213213. The reversal of 3331213200 is 23121333.

3331213200 is a `hidden beast` number, since 33 + 312 + 1 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3331213200² = 22193962767708480000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1687414 + ... + 1689386.

Almost surely, 2^3331213200 is an apocalyptic number.

3331213200 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 3331213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707841504).

3331213200 is an abundant number, since it is smaller than the sum of its proper divisors (10084469808).

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

3331213200 is a wasteful number, since it uses less digits than its factorization.

3331213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3331213200 is about 57716.6631052073. The cubic root of 3331213200 is about 1493.4848091633.

Adding to 3331213200 its reverse (23121333), we get a palindrome (3354334533).

The spelling of 3331213200 in words is "three billion, three hundred thirty-one million, two hundred thirteen thousand, two hundred".