3882527631360 has 768 divisors, whose sum is σ = 16108736716800. Its totient is φ = 868532944896.

The previous prime is 3882527631349. The next prime is 3882527631361. The reversal of 3882527631360 is 631367252883.

It is a happy number.

3882527631360 is a `hidden beast` number, since 3 + 8 + 8 + 2 + 5 + 276 + 3 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 3882527631297 and 3882527631306.

It is not an unprimeable number, because it can be changed into a prime (3882527631361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90940579 + ... + 90983261.

It is an arithmetic number, because the mean of its divisors is an integer number (20974917600).

Almost surely, 2^{3882527631360} is an apocalyptic number.

3882527631360 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 3882527631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8054368358400).

3882527631360 is an abundant number, since it is smaller than the sum of its proper divisors (12226209085440).

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

3882527631360 is a wasteful number, since it uses less digits than its factorization.

3882527631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42773 (or 42747 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3882527631360 in words is "three trillion, eight hundred eighty-two billion, five hundred twenty-seven million, six hundred thirty-one thousand, three hundred sixty".