3247288560 has 180 divisors, whose sum is σ = 11182118376. Its totient is φ = 844508160.

The previous prime is 3247288559. The next prime is 3247288573. The reversal of 3247288560 is 658827423.

3247288560 is a `hidden beast` number, since 3 + 2 + 4 + 7 + 2 + 88 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1208979 + ... + 1211661.

Almost surely, 2^3247288560 is an apocalyptic number.

3247288560 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 3247288560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591059188).

3247288560 is an abundant number, since it is smaller than the sum of its proper divisors (7934829816).

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

3247288560 is a wasteful number, since it uses less digits than its factorization.

3247288560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3247288560 is about 56984.9853908905. The cubic root of 3247288560 is about 1480.8359898334.

The spelling of 3247288560 in words is "three billion, two hundred forty-seven million, two hundred eighty-eight thousand, five hundred sixty".