3321401293056 has 576 divisors, whose sum is σ = 11515158982656. Its totient is φ = 824119296000.

The previous prime is 3321401293037. The next prime is 3321401293057. The reversal of 3321401293056 is 6503921041233.

It is a super-2 number, since 2×3321401293056² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3321401293057) 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 63 ways as a sum of consecutive naturals, for example, 1769525590 + ... + 1769527466.

It is an arithmetic number, because the mean of its divisors is an integer number (19991595456).

Almost surely, 2^{3321401293056} 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 3321401293056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757579491328).

3321401293056 is an abundant number, since it is smaller than the sum of its proper divisors (8193757689600).

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

3321401293056 is a wasteful number, since it uses less digits than its factorization.

3321401293056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 3321401293056 in words is "three trillion, three hundred twenty-one billion, four hundred one million, two hundred ninety-three thousand, fifty-six".