3971802868416 has 336 divisors, whose sum is σ = 12144914496000. Its totient is φ = 1236703666176.

The previous prime is 3971802868393. The next prime is 3971802868417. The reversal of 3971802868416 is 6148682081793.

3971802868416 is a `hidden beast` number, since 3 + 97 + 180 + 286 + 84 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (3971802868417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855436591 + ... + 855441233.

Almost surely, 2^{3971802868416} is an apocalyptic number.

3971802868416 is a gapful number since it is divisible by the number (36) 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 3971802868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072457248000).

3971802868416 is an abundant number, since it is smaller than the sum of its proper divisors (8173111627584).

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

3971802868416 is a wasteful number, since it uses less digits than its factorization.

3971802868416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 3971802868416 in words is "three trillion, nine hundred seventy-one billion, eight hundred two million, eight hundred sixty-eight thousand, four hundred sixteen".