3882760331184 has 320 divisors, whose sum is σ = 13453752238080. Its totient is φ = 1048606352640.

The previous prime is 3882760331173. The next prime is 3882760331189. The reversal of 3882760331184 is 4811330672883.

It is a happy number.

3882760331184 is a `hidden beast` number, since 3 + 8 + 8 + 27 + 603 + 3 + 1 + 1 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3882760331184.

It is not an unprimeable number, because it can be changed into a prime (3882760331189) 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, 3549379 + ... + 4512605.

It is an arithmetic number, because the mean of its divisors is an integer number (42042975744).

Almost surely, 2^{3882760331184} 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 3882760331184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726876119040).

3882760331184 is an abundant number, since it is smaller than the sum of its proper divisors (9570991906896).

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

3882760331184 is a wasteful number, since it uses less digits than its factorization.

3882760331184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963325 (or 963313 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3882760331184 in words is "three trillion, eight hundred eighty-two billion, seven hundred sixty million, three hundred thirty-one thousand, one hundred eighty-four".