3332240440200 has 768 divisors, whose sum is σ = 13900896000000. Its totient is φ = 716702100480.

The previous prime is 3332240440153. The next prime is 3332240440201. The reversal of 3332240440200 is 20440422333.

3332240440200 is a `hidden beast` number, since 3 + 33 + 22 + 404 + 4 + 0 + 200 = 666.

It is a super-2 number, since 2×3332240440200² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3332240440201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106996231 + ... + 107027369.

It is an arithmetic number, because the mean of its divisors is an integer number (18100125000).

Almost surely, 2^{3332240440200} is an apocalyptic number.

3332240440200 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 3332240440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6950448000000).

3332240440200 is an abundant number, since it is smaller than the sum of its proper divisors (10568655559800).

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

3332240440200 is a wasteful number, since it uses less digits than its factorization.

3332240440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31339 (or 31324 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 3332240440200 its reverse (20440422333), we get a palindrome (3352680862533).

The spelling of 3332240440200 in words is "three trillion, three hundred thirty-two billion, two hundred forty million, four hundred forty thousand, two hundred".