3976385218560 has 288 divisors, whose sum is σ = 13799512392120. Its totient is φ = 1058978660352.

The previous prime is 3976385218529. The next prime is 3976385218567. The reversal of 3976385218560 is 658125836793.

3976385218560 is a `hidden beast` number, since 3 + 9 + 7 + 6 + 3 + 8 + 52 + 18 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3421848830976 + 554536387584 = 1849824^2 + 744672^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3976385218567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71211772 + ... + 71267588.

Almost surely, 2^{3976385218560} is an apocalyptic number.

3976385218560 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 3976385218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899756196060).

3976385218560 is an abundant number, since it is smaller than the sum of its proper divisors (9823127173560).

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

3976385218560 is a wasteful number, since it uses less digits than its factorization.

3976385218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56623 (or 56600 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 3976385218560 in words is "three trillion, nine hundred seventy-six billion, three hundred eighty-five million, two hundred eighteen thousand, five hundred sixty".