3944144064 has 168 divisors, whose sum is σ = 12287999808. Its totient is φ = 1113100800.

The previous prime is 3944144059. The next prime is 3944144107. The reversal of 3944144064 is 4604414493.

3944144064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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, 778339 + ... + 783389.

It is an arithmetic number, because the mean of its divisors is an integer number (73142856).

Almost surely, 2^3944144064 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 3944144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143999904).

3944144064 is an abundant number, since it is smaller than the sum of its proper divisors (8343855744).

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

3944144064 is a wasteful number, since it uses less digits than its factorization.

3944144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5163 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 3944144064 is about 62802.4208450598. The cubic root of 3944144064 is about 1579.9775759249.

The spelling of 3944144064 in words is "three billion, nine hundred forty-four million, one hundred forty-four thousand, sixty-four".