3920560560 has 180 divisors, whose sum is σ = 15316327728. Its totient is φ = 896120064.

The previous prime is 3920560493. The next prime is 3920560577. The reversal of 3920560560 is 650650293.

3920560560 is a `hidden beast` number, since 3 + 92 + 0 + 5 + 6 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

3920560560 is a modest number, since divided by 560560 gives 3920 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20284 + ... + 90843.

Almost surely, 2^3920560560 is an apocalyptic number.

3920560560 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 3920560560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7658163864).

3920560560 is an abundant number, since it is smaller than the sum of its proper divisors (11395767168).

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

3920560560 is a wasteful number, since it uses less digits than its factorization.

3920560560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111160 (or 111144 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3920560560 is about 62614.3798180578. The cubic root of 3920560560 is about 1576.8221873140.

The spelling of 3920560560 in words is "three billion, nine hundred twenty million, five hundred sixty thousand, five hundred sixty".