3165616384 has 108 divisors (see below), whose sum is σ = 7453366284. Its totient is φ = 1337720832.

The previous prime is 3165616381. The next prime is 3165616409. The reversal of 3165616384 is 4836165613.

3165616384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 692742400 + 2472873984 = 26320^2 + 49728^2 .

It is a super-3 number, since 3×3165616384³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3165616384.

It is not an unprimeable number, because it can be changed into a prime (3165616381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 913984 + ... + 917440.

Almost surely, 2^3165616384 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 3165616384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726683142).

3165616384 is an abundant number, since it is smaller than the sum of its proper divisors (4287749900).

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

3165616384 is an equidigital number, since it uses as much as digits as its factorization.

3165616384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3539 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The square root of 3165616384 is about 56263.8106068190. The cubic root of 3165616384 is about 1468.3156520408.

The spelling of 3165616384 in words is "three billion, one hundred sixty-five million, six hundred sixteen thousand, three hundred eighty-four".