3963187586448 has 360 divisors, whose sum is σ = 12038309108280. Its totient is φ = 1262265016320.

The previous prime is 3963187586417. The next prime is 3963187586459. The reversal of 3963187586448 is 8446857813693.

3963187586448 is a `hidden beast` number, since 3 + 9 + 6 + 31 + 8 + 7 + 586 + 4 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1455043887504 + 2508143698944 = 1206252^2 + 1583712^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 295290778 + ... + 295304198.

It is an arithmetic number, because the mean of its divisors is an integer number (33439747523).

Almost surely, 2^{3963187586448} 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 3963187586448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6019154554140).

3963187586448 is an abundant number, since it is smaller than the sum of its proper divisors (8075121521832).

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

3963187586448 is an equidigital number, since it uses as much as digits as its factorization.

3963187586448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13579 (or 13552 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 3963187586448 in words is "three trillion, nine hundred sixty-three billion, one hundred eighty-seven million, five hundred eighty-six thousand, four hundred forty-eight".