3996662705100 has 432 divisors, whose sum is σ = 14222742311232. Its totient is φ = 931312926720.

The previous prime is 3996662705089. The next prime is 3996662705153. The reversal of 3996662705100 is 15072666993.

3996662705100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26026144 + ... + 26179256.

Almost surely, 2^{3996662705100} is an apocalyptic number.

3996662705100 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 3996662705100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111371155616).

3996662705100 is an abundant number, since it is smaller than the sum of its proper divisors (10226079606132).

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

3996662705100 is a wasteful number, since it uses less digits than its factorization.

3996662705100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153266 (or 153256 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 3996662705100 in words is "three trillion, nine hundred ninety-six billion, six hundred sixty-two million, seven hundred five thousand, one hundred".