3582385560 has 96 divisors (see below), whose sum is σ = 12538365840. Its totient is φ = 881816832.

The previous prime is 3582385559. The next prime is 3582385577. The reversal of 3582385560 is 655832853.

3582385560 is a `hidden beast` number, since 3 + 5 + 8 + 2 + 3 + 85 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378054 + ... + 387413.

Almost surely, 2^3582385560 is an apocalyptic number.

3582385560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3582385560 is an abundant number, since it is smaller than the sum of its proper divisors (8955980280).

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

3582385560 is a wasteful number, since it uses less digits than its factorization.

3582385560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765497 (or 765490 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 3582385560 is about 59853.0330058553. The cubic root of 3582385560 is about 1530.1151265414.

The spelling of 3582385560 in words is "three billion, five hundred eighty-two million, three hundred eighty-five thousand, five hundred sixty".