3993340800 has 192 divisors, whose sum is σ = 13927345200. Its totient is φ = 1002209280.

The previous prime is 3993340781. The next prime is 3993340811. The reversal of 3993340800 is 80433993.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 150966 + ... + 175434.

Almost surely, 2^3993340800 is an apocalyptic number.

3993340800 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 3993340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963672600).

3993340800 is an abundant number, since it is smaller than the sum of its proper divisors (9934004400).

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

3993340800 is a wasteful number, since it uses less digits than its factorization.

3993340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24513 (or 24496 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 3993340800 is about 63192.8856755252. The cubic root of 3993340800 is about 1586.5196609167.

The spelling of 3993340800 in words is "three billion, nine hundred ninety-three million, three hundred forty thousand, eight hundred".