3978194616000 has 1344 divisors, whose sum is σ = 17303807139840. Its totient is φ = 859852800000.

The previous prime is 3978194615971. The next prime is 3978194616031. The reversal of 3978194616000 is 6164918793.

3978194616000 is a `hidden beast` number, since 3 + 9 + 7 + 8 + 19 + 4 + 616 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 255808225 + ... + 255823775.

Almost surely, 2^{3978194616000} is an apocalyptic number.

3978194616000 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 3978194616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8651903569920).

3978194616000 is an abundant number, since it is smaller than the sum of its proper divisors (13325612523840).

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

3978194616000 is a wasteful number, since it uses less digits than its factorization.

3978194616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15631 (or 15608 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 3978194616000 in words is "three trillion, nine hundred seventy-eight billion, one hundred ninety-four million, six hundred sixteen thousand".