3996534297600 has 3168 divisors, whose sum is σ = 17891625001600. Its totient is φ = 877162659840.

The previous prime is 3996534297593. The next prime is 3996534297643. The reversal of 3996534297600 is 67924356993.

3996534297600 is a `hidden beast` number, since 3 + 9 + 9 + 6 + 534 + 2 + 97 + 6 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 210343910391 + ... + 210343910409.

Almost surely, 2^{3996534297600} is an apocalyptic number.

3996534297600 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 3996534297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8945812500800).

3996534297600 is an abundant number, since it is smaller than the sum of its proper divisors (13895090704000).

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

3996534297600 is a wasteful number, since it uses less digits than its factorization.

3996534297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 3996534297600 in words is "three trillion, nine hundred ninety-six billion, five hundred thirty-four million, two hundred ninety-seven thousand, six hundred".