3330587821680 has 960 divisors, whose sum is σ = 13859490078720. Its totient is φ = 699981004800.

The previous prime is 3330587821643. The next prime is 3330587821697. The reversal of 3330587821680 is 861287850333.

3330587821680 is a `hidden beast` number, since 3 + 3 + 30 + 587 + 8 + 21 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×3330587821680² (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 191 ways as a sum of consecutive naturals, for example, 810162825 + ... + 810166935.

It is an arithmetic number, because the mean of its divisors is an integer number (14436968832).

Almost surely, 2^{3330587821680} is an apocalyptic number.

3330587821680 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 3330587821680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929745039360).

3330587821680 is an abundant number, since it is smaller than the sum of its proper divisors (10528902257040).

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

3330587821680 is a wasteful number, since it uses less digits than its factorization.

3330587821680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3330587821680 in words is "three trillion, three hundred thirty billion, five hundred eighty-seven million, eight hundred twenty-one thousand, six hundred eighty".