3978683875980 has 144 divisors (see below), whose sum is σ = 13175424741024. Its totient is φ = 963826268160.

The previous prime is 3978683875961. The next prime is 3978683876003. The reversal of 3978683875980 is 895783868793.

3978683875980 is a `hidden beast` number, since 3 + 97 + 8 + 68 + 387 + 5 + 98 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3978683875980.

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 47 ways as a sum of consecutive naturals, for example, 1986772 + ... + 3450308.

It is an arithmetic number, because the mean of its divisors is an integer number (91496005146).

Almost surely, 2^{3978683875980} is an apocalyptic number.

3978683875980 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 3978683875980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587712370512).

3978683875980 is an abundant number, since it is smaller than the sum of its proper divisors (9196740865044).

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

3978683875980 is a wasteful number, since it uses less digits than its factorization.

3978683875980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464936 (or 1464931 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 81.

The spelling of 3978683875980 in words is "three trillion, nine hundred seventy-eight billion, six hundred eighty-three million, eight hundred seventy-five thousand, nine hundred eighty".