3253664560 has 80 divisors (see below), whose sum is σ = 7842596256. Its totient is φ = 1254334464.

The previous prime is 3253664549. The next prime is 3253664569. The reversal of 3253664560 is 654663523.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×3253664560³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3253664569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311584 + ... + 321856.

Almost surely, 2^3253664560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3253664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921298128).

3253664560 is an abundant number, since it is smaller than the sum of its proper divisors (4588931696).

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

3253664560 is a wasteful number, since it uses less digits than its factorization.

3253664560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10430 (or 10424 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

The square root of 3253664560 is about 57040.9025174041. The cubic root of 3253664560 is about 1481.8045555781.

The spelling of 3253664560 in words is "three billion, two hundred fifty-three million, six hundred sixty-four thousand, five hundred sixty".