3321820466496 has 784 divisors, whose sum is σ = 11513859404544. Its totient is φ = 930856624128.

The previous prime is 3321820466491. The next prime is 3321820466507. The reversal of 3321820466496 is 6946640281233.

3321820466496 is a `hidden beast` number, since 3 + 32 + 1 + 82 + 0 + 46 + 6 + 496 = 666.

3321820466496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3321820466496² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321820466491) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6604016581 + ... + 6604017083.

Almost surely, 2^{3321820466496} is an apocalyptic number.

3321820466496 is a gapful number since it is divisible by the number (36) 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 3321820466496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756929702272).

3321820466496 is an abundant number, since it is smaller than the sum of its proper divisors (8192038938048).

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

3321820466496 is an equidigital number, since it uses as much as digits as its factorization.

3321820466496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3321820466496 in words is "three trillion, three hundred twenty-one billion, eight hundred twenty million, four hundred sixty-six thousand, four hundred ninety-six".