3584145680 has 20 divisors (see below), whose sum is σ = 8333138892. Its totient is φ = 1433658240.

The previous prime is 3584145671. The next prime is 3584145703. The reversal of 3584145680 is 865414853.

It can be written as a sum of positive squares in 2 ways, for example, as 2727763984 + 856381696 = 52228^2 + 29264^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×3584145680² = 25692200510925324800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22400831 + ... + 22400990.

Almost surely, 2^3584145680 is an apocalyptic number.

It is an amenable number.

3584145680 is an abundant number, since it is smaller than the sum of its proper divisors (4748993212).

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

3584145680 is a wasteful number, since it uses less digits than its factorization.

3584145680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44801834 (or 44801828 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The square root of 3584145680 is about 59867.7348828232. The cubic root of 3584145680 is about 1530.3656807446.

The spelling of 3584145680 in words is "three billion, five hundred eighty-four million, one hundred forty-five thousand, six hundred eighty".