3944582544 has 80 divisors (see below), whose sum is σ = 11701314560. Its totient is φ = 1121662080.

The previous prime is 3944582441. The next prime is 3944582549. The reversal of 3944582544 is 4452854493.

3944582544 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3944582493 and 3944582502.

It is not an unprimeable number, because it can be changed into a prime (3944582549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43077 + ... + 98715.

It is an arithmetic number, because the mean of its divisors is an integer number (146266432).

Almost surely, 2^3944582544 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 3944582544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850657280).

3944582544 is an abundant number, since it is smaller than the sum of its proper divisors (7756732016).

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

3944582544 is a wasteful number, since it uses less digits than its factorization.

3944582544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55868 (or 55862 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 48.

The square root of 3944582544 is about 62805.9116962727. The cubic root of 3944582544 is about 1580.0361237268.

The spelling of 3944582544 in words is "three billion, nine hundred forty-four million, five hundred eighty-two thousand, five hundred forty-four".