3996684072960 has 192 divisors, whose sum is σ = 12872095236000. Its totient is φ = 1058628304896.

The previous prime is 3996684072937. The next prime is 3996684072961. The reversal of 3996684072960 is 692704866993.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3996684072961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4140702 + ... + 5013858.

Almost surely, 2^{3996684072960} is an apocalyptic number.

3996684072960 is a gapful number since it is divisible by the number (30) 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 3996684072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6436047618000).

3996684072960 is an abundant number, since it is smaller than the sum of its proper divisors (8875411163040).

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

3996684072960 is a wasteful number, since it uses less digits than its factorization.

3996684072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873336 (or 873316 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 69.

The spelling of 3996684072960 in words is "three trillion, nine hundred ninety-six billion, six hundred eighty-four million, seventy-two thousand, nine hundred sixty".