3321620820 has 216 divisors, whose sum is σ = 12410582184. Its totient is φ = 714534912.

The previous prime is 3321620773. The next prime is 3321620833. The reversal of 3321620820 is 280261233.

3321620820 is a `hidden beast` number, since 3 + 32 + 1 + 620 + 8 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125753796 + 3195867024 = 11214^2 + 56532^2 .

It is a super-2 number, since 2×3321620820² = 22066329743714944800, which 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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138864 + ... + 161016.

It is an arithmetic number, because the mean of its divisors is an integer number (57456399).

Almost surely, 2^3321620820 is an apocalyptic number.

3321620820 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 3321620820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205291092).

3321620820 is an abundant number, since it is smaller than the sum of its proper divisors (9088961364).

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

3321620820 is a wasteful number, since it uses less digits than its factorization.

3321620820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22199 (or 22187 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3321620820 is about 57633.5043182349. The cubic root of 3321620820 is about 1492.0499118398.

The spelling of 3321620820 in words is "three billion, three hundred twenty-one million, six hundred twenty thousand, eight hundred twenty".