3320011031200 has 144 divisors (see below), whose sum is σ = 8202581485560. Its totient is φ = 1312081182720.

The previous prime is 3320011031173. The next prime is 3320011031201. The reversal of 3320011031200 is 21301100233.

It can be written as a sum of positive squares in 12 ways, for example, as 134457155856 + 3185553875344 = 366684^2 + 1784812^2 .

It is a super-2 number, since 2×3320011031200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3320011031201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30727672 + ... + 30835528.

Almost surely, 2^{3320011031200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320011031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101290742780).

3320011031200 is an abundant number, since it is smaller than the sum of its proper divisors (4882570454360).

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

3320011031200 is a wasteful number, since it uses less digits than its factorization.

3320011031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108339 (or 108326 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 3320011031200 its reverse (21301100233), we get a palindrome (3341312131433).

The spelling of 3320011031200 in words is "three trillion, three hundred twenty billion, eleven million, thirty-one thousand, two hundred".