3668278648320 has 3200 divisors, whose sum is σ = 17248656015360. Its totient is φ = 730013368320.

The previous prime is 3668278648289. The next prime is 3668278648369. The reversal of 3668278648320 is 238468728663.

It is a happy number.

3668278648320 is a `hidden beast` number, since 3 + 6 + 6 + 82 + 78 + 6 + 483 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9577750849 + ... + 9577751231.

Almost surely, 2^{3668278648320} is an apocalyptic number.

3668278648320 is a gapful number since it is divisible by the number (30) 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 3668278648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624328007680).

3668278648320 is an abundant number, since it is smaller than the sum of its proper divisors (13580377367040).

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

3668278648320 is a wasteful number, since it uses less digits than its factorization.

3668278648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 3668278648320 in words is "three trillion, six hundred sixty-eight billion, two hundred seventy-eight million, six hundred forty-eight thousand, three hundred twenty".