3252886560 has 864 divisors, whose sum is σ = 14671964160. Its totient is φ = 670602240.

The previous prime is 3252886547. The next prime is 3252886579. The reversal of 3252886560 is 656882523.

3252886560 is a `hidden beast` number, since 3 + 2 + 5 + 2 + 8 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25613217 + ... + 25613343.

It is an arithmetic number, because the mean of its divisors is an integer number (16981440).

Almost surely, 2^3252886560 is an apocalyptic number.

3252886560 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 3252886560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335982080).

3252886560 is an abundant number, since it is smaller than the sum of its proper divisors (11419077600).

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

3252886560 is a wasteful number, since it uses less digits than its factorization.

3252886560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 3252886560 is about 57034.0824419925. The cubic root of 3252886560 is about 1481.6864389312.

The spelling of 3252886560 in words is "three billion, two hundred fifty-two million, eight hundred eighty-six thousand, five hundred sixty".