3982388548320 has 4032 divisors, whose sum is σ = 19355438592000. Its totient is φ = 770339082240.

The previous prime is 3982388548319. The next prime is 3982388548321. The reversal of 3982388548320 is 238458832893.

3982388548320 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 3 + 88 + 548 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3982388548319) and next prime (3982388548321).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3982388548321) by changing a digit.

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 671 ways as a sum of consecutive naturals, for example, 128464146705 + ... + 128464146735.

It is an arithmetic number, because the mean of its divisors is an integer number (4800456000).

Almost surely, 2^{3982388548320} is an apocalyptic number.

3982388548320 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 3982388548320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9677719296000).

3982388548320 is an abundant number, since it is smaller than the sum of its proper divisors (15373050043680).

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

3982388548320 is a wasteful number, since it uses less digits than its factorization.

3982388548320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 3982388548320 in words is "three trillion, nine hundred eighty-two billion, three hundred eighty-eight million, five hundred forty-eight thousand, three hundred twenty".