3944461560 has 256 divisors, whose sum is σ = 13605580800. Its totient is φ = 906743808.

The previous prime is 3944461531. The next prime is 3944461571. The reversal of 3944461560 is 651644493.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2162809 + ... + 2164631.

It is an arithmetic number, because the mean of its divisors is an integer number (53146800).

Almost surely, 2^3944461560 is an apocalyptic number.

3944461560 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 3944461560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802790400).

3944461560 is an abundant number, since it is smaller than the sum of its proper divisors (9661119240).

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

3944461560 is a wasteful number, since it uses less digits than its factorization.

3944461560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3944461560 is about 62804.9485311468. The cubic root of 3944461560 is about 1580.0199698379.

The spelling of 3944461560 in words is "three billion, nine hundred forty-four million, four hundred sixty-one thousand, five hundred sixty".