3944656800 has 432 divisors, whose sum is σ = 16600187520. Its totient is φ = 901393920.

The previous prime is 3944656787. The next prime is 3944656801. The reversal of 3944656800 is 86564493.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×3944656800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3944656801) 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, 1056537 + ... + 1060263.

It is an arithmetic number, because the mean of its divisors is an integer number (38426360).

Almost surely, 2^3944656800 is an apocalyptic number.

3944656800 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 3944656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8300093760).

3944656800 is an abundant number, since it is smaller than the sum of its proper divisors (12655530720).

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

3944656800 is a wasteful number, since it uses less digits than its factorization.

3944656800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3944656800 is about 62806.5028480332. The cubic root of 3944656800 is about 1580.0460382889.

The spelling of 3944656800 in words is "three billion, nine hundred forty-four million, six hundred fifty-six thousand, eight hundred".