3331200021000 has 768 divisors, whose sum is σ = 11133196139520. Its totient is φ = 828610560000.

The previous prime is 3331200020933. The next prime is 3331200021001. The reversal of 3331200021000 is 1200021333.

3331200021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3331200021000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3331200021001) 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, 12292250865 + ... + 12292251135.

It is an arithmetic number, because the mean of its divisors is an integer number (14496349140).

Almost surely, 2^{3331200021000} is an apocalyptic number.

3331200021000 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 3331200021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566598069760).

3331200021000 is an abundant number, since it is smaller than the sum of its proper divisors (7801996118520).

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

3331200021000 is a wasteful number, since it uses less digits than its factorization.

3331200021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 3331200021000 its reverse (1200021333), we get a palindrome (3332400042333).

The spelling of 3331200021000 in words is "three trillion, three hundred thirty-one billion, two hundred million, twenty-one thousand".