3996336336993 has 288 divisors, whose sum is σ = 8035617408000. Its totient is φ = 1860962273280.

The previous prime is 3996336336991. The next prime is 3996336337073.

3996336336993 is a `hidden beast` number, since 3 + 9 + 96 + 33 + 63 + 369 + 93 = 666.

3996336336993 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3996336336993 - 2¹ = 3996336336991 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3996336336991) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3809662333 + ... + 3809663381.

Almost surely, 2^{3996336336993} is an apocalyptic number.

3996336336993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3996336336993 is an abundant number, since it is smaller than the sum of its proper divisors (4039281071007).

3996336336993 is a wasteful number, since it uses less digits than its factorization.

3996336336993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2159 counting only the distinct ones).

The product of its digits is 1033121304, while the sum is 72.

The spelling of 3996336336993 in words is "three trillion, nine hundred ninety-six billion, three hundred thirty-six million, three hundred thirty-six thousand, nine hundred ninety-three".