3993116400 has 960 divisors, whose sum is σ = 18598809600. Its totient is φ = 789626880.

The previous prime is 3993116359. The next prime is 3993116429. The reversal of 3993116400 is 46113993.

3993116400 is a `hidden beast` number, since 3 + 9 + 9 + 3 + 1 + 1 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16707481 + ... + 16707719.

It is an arithmetic number, because the mean of its divisors is an integer number (19373760).

Almost surely, 2^3993116400 is an apocalyptic number.

3993116400 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 3993116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9299404800).

3993116400 is an abundant number, since it is smaller than the sum of its proper divisors (14605693200).

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

3993116400 is a wasteful number, since it uses less digits than its factorization.

3993116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3993116400 is about 63191.1101342586. The cubic root of 3993116400 is about 1586.4899429689.

The spelling of 3993116400 in words is "three billion, nine hundred ninety-three million, one hundred sixteen thousand, four hundred".