3988982178720 has 576 divisors, whose sum is σ = 17162037285120. Its totient is φ = 819564134400.

The previous prime is 3988982178689. The next prime is 3988982178749. The reversal of 3988982178720 is 278712898893.

3988982178720 is a `hidden beast` number, since 398 + 89 + 8 + 21 + 78 + 72 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9666210 + ... + 10070430.

It is an arithmetic number, because the mean of its divisors is an integer number (29795203620).

Almost surely, 2^{3988982178720} is an apocalyptic number.

3988982178720 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 3988982178720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8581018642560).

3988982178720 is an abundant number, since it is smaller than the sum of its proper divisors (13173055106400).

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

3988982178720 is a wasteful number, since it uses less digits than its factorization.

3988982178720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404349 (or 404338 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 3988982178720 in words is "three trillion, nine hundred eighty-eight billion, nine hundred eighty-two million, one hundred seventy-eight thousand, seven hundred twenty".