3331201000000 has 588 divisors, whose sum is σ = 9099860160924. Its totient is φ = 1205657600000.

The previous prime is 3331200999967. The next prime is 3331201000007. The reversal of 3331201000000 is 1021333.

It can be written as a sum of positive squares in 42 ways, for example, as 442044138496 + 2889156861504 = 664864^2 + 1699752^2 .

It is a super-2 number, since 2×3331201000000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3331201000007) 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 83 ways as a sum of consecutive naturals, for example, 14296999884 + ... + 14297000116.

Almost surely, 2^{3331201000000} 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 3331201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549930080462).

3331201000000 is an abundant number, since it is smaller than the sum of its proper divisors (5768659160924).

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

3331201000000 is an frugal number, since it uses more digits than its factorization.

3331201000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 3331201000000 its reverse (1021333), we get a palindrome (3331202021333).

The spelling of 3331201000000 in words is "three trillion, three hundred thirty-one billion, two hundred one million", and thus it is an aban number.