3978809280792 has 224 divisors, whose sum is σ = 11242274472000. Its totient is φ = 1319526858240.

The previous prime is 3978809280751. The next prime is 3978809280793. The reversal of 3978809280792 is 2970829088793.

3978809280792 is a `hidden beast` number, since 397 + 8 + 8 + 0 + 92 + 80 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3978809280792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3978809280793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1629990292 + ... + 1629992732.

Almost surely, 2^{3978809280792} 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 3978809280792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621137236000).

3978809280792 is an abundant number, since it is smaller than the sum of its proper divisors (7263465191208).

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

3978809280792 is a wasteful number, since it uses less digits than its factorization.

3978809280792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 3978809280792 in words is "three trillion, nine hundred seventy-eight billion, eight hundred nine million, two hundred eighty thousand, seven hundred ninety-two".