3321111003000 has 512 divisors, whose sum is σ = 12431469772800. Its totient is φ = 722164032000.

The previous prime is 3321111002981. The next prime is 3321111003013. The reversal of 3321111003000 is 3001111233.

It is a super-2 number, since 2×3321111003000² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38365767 + ... + 38452233.

It is an arithmetic number, because the mean of its divisors is an integer number (24280214400).

Almost surely, 2^{3321111003000} is an apocalyptic number.

3321111003000 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 3321111003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215734886400).

3321111003000 is an abundant number, since it is smaller than the sum of its proper divisors (9110358769800).

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

3321111003000 is a wasteful number, since it uses less digits than its factorization.

3321111003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86588 (or 86574 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 3321111003000 its reverse (3001111233), we get a palindrome (3324112114233).

The spelling of 3321111003000 in words is "three trillion, three hundred twenty-one billion, one hundred eleven million, three thousand".