3993451200 has 336 divisors, whose sum is σ = 14723120160. Its totient is φ = 1052835840.

The previous prime is 3993451159. The next prime is 3993451207. The reversal of 3993451200 is 21543993.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3993451207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4189924 + ... + 4190876.

It is an arithmetic number, because the mean of its divisors is an integer number (43818810).

Almost surely, 2^3993451200 is an apocalyptic number.

3993451200 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 3993451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7361560080).

3993451200 is an abundant number, since it is smaller than the sum of its proper divisors (10729668960).

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

3993451200 is a wasteful number, since it uses less digits than its factorization.

3993451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3993451200 is about 63193.7591855398. The cubic root of 3993451200 is about 1586.5342811028.

The spelling of 3993451200 in words is "three billion, nine hundred ninety-three million, four hundred fifty-one thousand, two hundred".