3976487424864 has 240 divisors, whose sum is σ = 12385813809600. Its totient is φ = 1247208247296.

The previous prime is 3976487424853. The next prime is 3976487424883. The reversal of 3976487424864 is 4684247846793.

3976487424864 is a `hidden beast` number, since 3 + 9 + 7 + 6 + 487 + 42 + 48 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3976487424792 and 3976487424801.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 222029542 + ... + 222047450.

It is an arithmetic number, because the mean of its divisors is an integer number (51607557540).

Almost surely, 2^{3976487424864} is an apocalyptic number.

3976487424864 is a gapful number since it is divisible by the number (34) 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 3976487424864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192906904800).

3976487424864 is an abundant number, since it is smaller than the sum of its proper divisors (8409326384736).

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

3976487424864 is a wasteful number, since it uses less digits than its factorization.

3976487424864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22987 (or 22970 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 72.

The spelling of 3976487424864 in words is "three trillion, nine hundred seventy-six billion, four hundred eighty-seven million, four hundred twenty-four thousand, eight hundred sixty-four".