3993068800 has 432 divisors, whose sum is σ = 12317961600. Its totient is φ = 1276477440.

The previous prime is 3993068797. The next prime is 3993068803. The reversal of 3993068800 is 88603993.

It is an interprime number because it is at equal distance from previous prime (3993068797) and next prime (3993068803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3993068803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37318347 + ... + 37318453.

It is an arithmetic number, because the mean of its divisors is an integer number (28513800).

Almost surely, 2^3993068800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3993068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6158980800).

3993068800 is an abundant number, since it is smaller than the sum of its proper divisors (8324892800).

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

3993068800 is a wasteful number, since it uses less digits than its factorization.

3993068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 3993068800 is about 63190.7334978793. The cubic root of 3993068800 is about 1586.4836390186.

The spelling of 3993068800 in words is "three billion, nine hundred ninety-three million, sixty-eight thousand, eight hundred".