3282517779984 has 225 divisors, whose sum is σ = 9675657548733. Its totient is φ = 1074366301824.

The previous prime is 3282517779967. The next prime is 3282517779991. The reversal of 3282517779984 is 4899777152823.

It is a happy number.

The square root of 3282517779984 is 1811772.

It is a perfect power (a square), and thus also a powerful number.

3282517779984 is a `hidden beast` number, since 3 + 28 + 2 + 517 + 7 + 7 + 9 + 9 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 189590576400 + 3092927203584 = 435420^2 + 1758672^2 .

It is a super-2 number, since 2×3282517779984² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 44 ways as a sum of consecutive naturals, for example, 3848203302 + ... + 3848204154.

Almost surely, 2^{3282517779984} is an apocalyptic number.

3282517779984 is the 1811772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3282517779984

3282517779984 is an abundant number, since it is smaller than the sum of its proper divisors (6393139768749).

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

3282517779984 is an frugal number, since it uses more digits than its factorization.

3282517779984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 917 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 72.

The spelling of 3282517779984 in words is "three trillion, two hundred eighty-two billion, five hundred seventeen million, seven hundred seventy-nine thousand, nine hundred eighty-four".