3870556560 has 120 divisors (see below), whose sum is σ = 13998546744. Its totient is φ = 952750080.

The previous prime is 3870556517. The next prime is 3870556561. The reversal of 3870556560 is 656550783.

3870556560 is a `hidden beast` number, since 3 + 87 + 0 + 5 + 5 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 508412304 + 3362144256 = 22548^2 + 57984^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3870556561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197401 + ... + 216120.

Almost surely, 2^3870556560 is an apocalyptic number.

3870556560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3870556560 is an abundant number, since it is smaller than the sum of its proper divisors (10127990184).

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

3870556560 is a wasteful number, since it uses less digits than its factorization.

3870556560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413553 (or 413544 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 3870556560 is about 62213.7971835830. The cubic root of 3870556560 is about 1570.0897294112.

The spelling of 3870556560 in words is "three billion, eight hundred seventy million, five hundred fifty-six thousand, five hundred sixty".