3816944560 has 160 divisors (see below), whose sum is σ = 10524951360. Its totient is φ = 1269043200.

The previous prime is 3816944557. The next prime is 3816944581. The reversal of 3816944560 is 654496183.

3816944560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3816944560² = 29138131548227187200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3816944560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245430 + ... + 1248490.

It is an arithmetic number, because the mean of its divisors is an integer number (65780946).

Almost surely, 2^3816944560 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 3816944560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5262475680).

3816944560 is an abundant number, since it is smaller than the sum of its proper divisors (6708006800).

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

3816944560 is a wasteful number, since it uses less digits than its factorization.

3816944560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 3816944560 is about 61781.4256876612. The cubic root of 3816944560 is about 1562.8067703589.

The spelling of 3816944560 in words is "three billion, eight hundred sixteen million, nine hundred forty-four thousand, five hundred sixty".