3916560384 has 384 divisors, whose sum is σ = 13020134400. Its totient is φ = 1153105920.

The previous prime is 3916560379. The next prime is 3916560397. The reversal of 3916560384 is 4830656193.

3916560384 is a `hidden beast` number, since 3 + 9 + 1 + 6 + 560 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 28587964 + ... + 28588100.

It is an arithmetic number, because the mean of its divisors is an integer number (33906600).

Almost surely, 2^3916560384 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 3916560384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510067200).

3916560384 is an abundant number, since it is smaller than the sum of its proper divisors (9103574016).

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

3916560384 is a wasteful number, since it uses less digits than its factorization.

3916560384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3916560384 is about 62582.4287160542. The cubic root of 3916560384 is about 1576.2857238323.

The spelling of 3916560384 in words is "three billion, nine hundred sixteen million, five hundred sixty thousand, three hundred eighty-four".