3248530560 has 576 divisors, whose sum is σ = 12697776000. Its totient is φ = 764375040.

The previous prime is 3248530553. The next prime is 3248530627. The reversal of 3248530560 is 650358423.

It is a happy number.

3248530560 is a `hidden beast` number, since 3 + 2 + 48 + 53 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41120601 + ... + 41120679.

It is an arithmetic number, because the mean of its divisors is an integer number (22044750).

Almost surely, 2^3248530560 is an apocalyptic number.

3248530560 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 3248530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348888000).

3248530560 is an abundant number, since it is smaller than the sum of its proper divisors (9449245440).

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

3248530560 is a wasteful number, since it uses less digits than its factorization.

3248530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3248530560 is about 56995.8819565063. The cubic root of 3248530560 is about 1481.0247590002.

Adding to 3248530560 its reverse (650358423), we get a palindrome (3898888983).

The spelling of 3248530560 in words is "three billion, two hundred forty-eight million, five hundred thirty thousand, five hundred sixty".