3978282463272 has 640 divisors, whose sum is σ = 12698218985760. Its totient is φ = 1155217489920.

The previous prime is 3978282463237. The next prime is 3978282463291. The reversal of 3978282463272 is 2723642828793.

3978282463272 is a `hidden beast` number, since 3 + 9 + 78 + 2 + 82 + 463 + 27 + 2 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 19798178436 + 3958484284836 = 140706^2 + 1989594^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2466386338 + ... + 2466387950.

Almost surely, 2^{3978282463272} 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 3978282463272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349109492880).

3978282463272 is an abundant number, since it is smaller than the sum of its proper divisors (8719936522488).

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

3978282463272 is a wasteful number, since it uses less digits than its factorization.

3978282463272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1902 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 3978282463272 in words is "three trillion, nine hundred seventy-eight billion, two hundred eighty-two million, four hundred sixty-three thousand, two hundred seventy-two".