3678959116800 has 2160 divisors, whose sum is σ = 15791551776000. Its totient is φ = 814089830400.

The previous prime is 3678959116793. The next prime is 3678959116817. The reversal of 3678959116800 is 86119598763.

3678959116800 is a `hidden beast` number, since 36 + 7 + 8 + 9 + 591 + 1 + 6 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7680498961 + ... + 7680499439.

It is an arithmetic number, because the mean of its divisors is an integer number (7310903600).

Almost surely, 2^{3678959116800} is an apocalyptic number.

3678959116800 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 3678959116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7895775888000).

3678959116800 is an abundant number, since it is smaller than the sum of its proper divisors (12112592659200).

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

3678959116800 is a wasteful number, since it uses less digits than its factorization.

3678959116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 3678959116800 in words is "three trillion, six hundred seventy-eight billion, nine hundred fifty-nine million, one hundred sixteen thousand, eight hundred".