3981142787328 has 576 divisors, whose sum is σ = 14178518323200. Its totient is φ = 1076417372160.

The previous prime is 3981142787317. The next prime is 3981142787329. The reversal of 3981142787328 is 8237872411893.

3981142787328 is a `hidden beast` number, since 3 + 98 + 1 + 142 + 7 + 87 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×3981142787328³ (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3981142787329) 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 63 ways as a sum of consecutive naturals, for example, 1124297238 + ... + 1124300778.

It is an arithmetic number, because the mean of its divisors is an integer number (24615483200).

Almost surely, 2^{3981142787328} is an apocalyptic number.

3981142787328 is a gapful number since it is divisible by the number (38) 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 3981142787328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7089259161600).

3981142787328 is an abundant number, since it is smaller than the sum of its proper divisors (10197375535872).

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

3981142787328 is a wasteful number, since it uses less digits than its factorization.

3981142787328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4795 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 3981142787328 in words is "three trillion, nine hundred eighty-one billion, one hundred forty-two million, seven hundred eighty-seven thousand, three hundred twenty-eight".