3591466560 has 896 divisors, whose sum is σ = 15168798720. Its totient is φ = 790732800.

The previous prime is 3591466559. The next prime is 3591466577. The reversal of 3591466560 is 656641953.

3591466560 is a `hidden beast` number, since 3 + 591 + 4 + 6 + 6 + 56 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67763494 + ... + 67763546.

Almost surely, 2^3591466560 is an apocalyptic number.

3591466560 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 3591466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584399360).

3591466560 is an abundant number, since it is smaller than the sum of its proper divisors (11577332160).

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

3591466560 is a wasteful number, since it uses less digits than its factorization.

3591466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3591466560 is about 59928.8458090092. The cubic root of 3591466560 is about 1531.4069334424.

The spelling of 3591466560 in words is "three billion, five hundred ninety-one million, four hundred sixty-six thousand, five hundred sixty".