3326485833216 has 1680 divisors, whose sum is σ = 13234221643104. Its totient is φ = 824704892928.

The previous prime is 3326485833211. The next prime is 3326485833217. The reversal of 3326485833216 is 6123385846233.

3326485833216 is a `hidden beast` number, since 3 + 3 + 2 + 6 + 48 + 583 + 3 + 2 + 16 = 666.

It is a super-2 number, since 2×3326485833216² (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 (3326485833211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4041902181 + ... + 4041903003.

Almost surely, 2^{3326485833216} is an apocalyptic number.

3326485833216 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 3326485833216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6617110821552).

3326485833216 is an abundant number, since it is smaller than the sum of its proper divisors (9907735809888).

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

3326485833216 is an equidigital number, since it uses as much as digits as its factorization.

3326485833216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 865 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 3326485833216 in words is "three trillion, three hundred twenty-six billion, four hundred eighty-five million, eight hundred thirty-three thousand, two hundred sixteen".