3321083819088 has 480 divisors, whose sum is σ = 11382006504960. Its totient is φ = 883333693440.

The previous prime is 3321083819059. The next prime is 3321083819101. The reversal of 3321083819088 is 8809183801233.

3321083819088 is a `hidden beast` number, since 3 + 321 + 0 + 83 + 81 + 90 + 88 = 666.

It is a super-2 number, since 2×3321083819088² (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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411581518 + ... + 411589586.

It is an arithmetic number, because the mean of its divisors is an integer number (23712513552).

Almost surely, 2^{3321083819088} 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 3321083819088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691003252480).

3321083819088 is an abundant number, since it is smaller than the sum of its proper divisors (8060922685872).

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

3321083819088 is a wasteful number, since it uses less digits than its factorization.

3321083819088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587 (or 8578 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 3321083819088 in words is "three trillion, three hundred twenty-one billion, eighty-three million, eight hundred nineteen thousand, eighty-eight".