3944894958720 has 192 divisors, whose sum is σ = 13625625007800. Its totient is φ = 1051708686336.

The previous prime is 3944894958713. The next prime is 3944894958731. The reversal of 3944894958720 is 278594984493.

3944894958720 is a `hidden beast` number, since 3 + 9 + 4 + 489 + 49 + 5 + 87 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2433824645184 + 1511070313536 = 1560072^2 + 1229256^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23492016 + ... + 23659344.

Almost surely, 2^{3944894958720} is an apocalyptic number.

3944894958720 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 3944894958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812812503900).

3944894958720 is an abundant number, since it is smaller than the sum of its proper divisors (9680730049080).

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

3944894958720 is a wasteful number, since it uses less digits than its factorization.

3944894958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171447 (or 171432 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 3944894958720 in words is "three trillion, nine hundred forty-four billion, eight hundred ninety-four million, nine hundred fifty-eight thousand, seven hundred twenty".