3944578680 has 192 divisors, whose sum is σ = 15513301440. Its totient is φ = 848572416.

The previous prime is 3944578667. The next prime is 3944578691. The reversal of 3944578680 is 868754493.

3944578680 is a `hidden beast` number, since 3 + 9 + 4 + 4 + 578 + 68 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3199 + ... + 88878.

It is an arithmetic number, because the mean of its divisors is an integer number (80798445).

Almost surely, 2^3944578680 is an apocalyptic number.

3944578680 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 3944578680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756650720).

3944578680 is an abundant number, since it is smaller than the sum of its proper divisors (11568722760).

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

3944578680 is a wasteful number, since it uses less digits than its factorization.

3944578680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92118 (or 92111 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3944578680 is about 62805.8809348297. The cubic root of 3944578680 is about 1580.0356078072.

The spelling of 3944578680 in words is "three billion, nine hundred forty-four million, five hundred seventy-eight thousand, six hundred eighty".