3993200 has 60 divisors (see below), whose sum is σ = 9802200. Its totient is φ = 1562880.

The previous prime is 3993193. The next prime is 3993217. The reversal of 3993200 is 23993.

It is a self number, because there is not a number n which added to its sum of digits gives 3993200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26726 + ... + 26874.

It is an arithmetic number, because the mean of its divisors is an integer number (163370).

Almost surely, 2^3993200 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 3993200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901100).

3993200 is an abundant number, since it is smaller than the sum of its proper divisors (5809000).

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

3993200 is a wasteful number, since it uses less digits than its factorization.

3993200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

The square root of 3993200 is about 1998.2992768852. The cubic root of 3993200 is about 158.6501014491.

It can be divided in two parts, 39 and 93200, that added together give a palindrome (93239).

The spelling of 3993200 in words is "three million, nine hundred ninety-three thousand, two hundred".