3944987200 has 504 divisors, whose sum is σ = 12667439232. Its totient is φ = 1182720000.

The previous prime is 3944987171. The next prime is 3944987203. The reversal of 3944987200 is 27894493.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3944987203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55563165 + ... + 55563235.

It is an arithmetic number, because the mean of its divisors is an integer number (25133808).

Almost surely, 2^3944987200 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 3944987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333719616).

3944987200 is an abundant number, since it is smaller than the sum of its proper divisors (8722452032).

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

3944987200 is a wasteful number, since it uses less digits than its factorization.

3944987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 3944987200 is about 62809.1330938423. The cubic root of 3944987200 is about 1580.0901513481.

The spelling of 3944987200 in words is "three billion, nine hundred forty-four million, nine hundred eighty-seven thousand, two hundred".