3961976656896 has 132 divisors (see below), whose sum is σ = 11442694128372. Its totient is φ = 1320361918464.

The previous prime is 3961976656889. The next prime is 3961976656943. The reversal of 3961976656896 is 6986566791693.

3961976656896 is a `hidden beast` number, since 39 + 6 + 19 + 7 + 6 + 6 + 568 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3236890346496 + 725086310400 = 1799136^2 + 851520^2 .

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43020370 + ... + 43112366.

Almost surely, 2^{3961976656896} is an apocalyptic number.

3961976656896 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 3961976656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721347064186).

3961976656896 is an abundant number, since it is smaller than the sum of its proper divisors (7480717471476).

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

3961976656896 is a wasteful number, since it uses less digits than its factorization.

3961976656896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96696 (or 96675 counting only the distinct ones).

The product of its digits is 4761711360, while the sum is 81.

The spelling of 3961976656896 in words is "three trillion, nine hundred sixty-one billion, nine hundred seventy-six million, six hundred fifty-six thousand, eight hundred ninety-six".