3224686560 has 96 divisors (see below), whose sum is σ = 10175790240. Its totient is φ = 858390528.

The previous prime is 3224686547. The next prime is 3224686561. The reversal of 3224686560 is 656864223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224686561) 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, 278976 + ... + 290304.

It is an arithmetic number, because the mean of its divisors is an integer number (105997815).

Almost surely, 2^3224686560 is an apocalyptic number.

3224686560 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 3224686560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087895120).

3224686560 is an abundant number, since it is smaller than the sum of its proper divisors (6951103680).

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

3224686560 is a wasteful number, since it uses less digits than its factorization.

3224686560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11940 (or 11932 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 3224686560 is about 56786.3237056248. The cubic root of 3224686560 is about 1477.3923158111.

The spelling of 3224686560 in words is "three billion, two hundred twenty-four million, six hundred eighty-six thousand, five hundred sixty".