3218378655744 has 2016 divisors, whose sum is σ = 12215269848600. Its totient is φ = 842764124160.

The previous prime is 3218378655731. The next prime is 3218378655769. The reversal of 3218378655744 is 4475568738123.

It is a happy number.

3218378655744 is a `hidden beast` number, since 3 + 2 + 1 + 8 + 3 + 78 + 6 + 557 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2646842655744 + 571536000000 = 1626912^2 + 756000^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×3218378655744² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 78497040364 + ... + 78497040404.

Almost surely, 2^{3218378655744} 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 3218378655744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107634924300).

3218378655744 is an abundant number, since it is smaller than the sum of its proper divisors (8996891192856).

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

3218378655744 is an equidigital number, since it uses as much as digits as its factorization.

3218378655744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 119 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 3218378655744 in words is "three trillion, two hundred eighteen billion, three hundred seventy-eight million, six hundred fifty-five thousand, seven hundred forty-four".