3318383821824 has 440 divisors, whose sum is σ = 10602192497600. Its totient is φ = 1030701957120.

The previous prime is 3318383821801. The next prime is 3318383821849. The reversal of 3318383821824 is 4281283838133.

3318383821824 is a `hidden beast` number, since 3 + 3 + 1 + 8 + 383 + 82 + 182 + 4 = 666.

It is a super-2 number, since 2×3318383821824² (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 nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96114837 + ... + 96149355.

It is an arithmetic number, because the mean of its divisors is an integer number (24095892040).

Almost surely, 2^{3318383821824} 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 3318383821824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301096248800).

3318383821824 is an abundant number, since it is smaller than the sum of its proper divisors (7283808675776).

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

3318383821824 is a wasteful number, since it uses less digits than its factorization.

3318383821824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34631 (or 34604 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 3318383821824 in words is "three trillion, three hundred eighteen billion, three hundred eighty-three million, eight hundred twenty-one thousand, eight hundred twenty-four".