3993663139200 has 3840 divisors, whose sum is σ = 18981956505600. Its totient is φ = 806215680000.

The previous prime is 3993663139187. The next prime is 3993663139229. The reversal of 3993663139200 is 29313663993.

It is a happy number.

3993663139200 is a `hidden beast` number, since 3 + 99 + 36 + 6 + 313 + 9 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 39541219150 + ... + 39541219250.

It is an arithmetic number, because the mean of its divisors is an integer number (4943217840).

Almost surely, 2^{3993663139200} is an apocalyptic number.

3993663139200 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 3993663139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9490978252800).

3993663139200 is an abundant number, since it is smaller than the sum of its proper divisors (14988293366400).

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

3993663139200 is a wasteful number, since it uses less digits than its factorization.

3993663139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 54.

The spelling of 3993663139200 in words is "three trillion, nine hundred ninety-three billion, six hundred sixty-three million, one hundred thirty-nine thousand, two hundred".