3321032000000 has 560 divisors, whose sum is σ = 9747786476736. Its totient is φ = 1114368000000.

The previous prime is 3321031999969. The next prime is 3321032000057. The reversal of 3321032000000 is 2301233.

It is a super-2 number, since 2×3321032000000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 1143998549 + ... + 1144001451.

Almost surely, 2^{3321032000000} 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 3321032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873893238368).

3321032000000 is an abundant number, since it is smaller than the sum of its proper divisors (6426754476736).

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

3321032000000 is an frugal number, since it uses more digits than its factorization.

3321032000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 3321032000000 its reverse (2301233), we get a palindrome (3321034301233).

The spelling of 3321032000000 in words is "three trillion, three hundred twenty-one billion, thirty-two million", and thus it is an aban number.