3224572560 has 180 divisors, whose sum is σ = 11903480316. Its totient is φ = 781693440.

The previous prime is 3224572399. The next prime is 3224572567. The reversal of 3224572560 is 652754223.

3224572560 is a `hidden beast` number, since 3 + 2 + 24 + 5 + 72 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1395470736 + 1829101824 = 37356^2 + 42768^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (3224572567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68614 + ... + 105626.

Almost surely, 2^3224572560 is an apocalyptic number.

3224572560 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 3224572560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951740158).

3224572560 is an abundant number, since it is smaller than the sum of its proper divisors (8678907756).

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

3224572560 is a wasteful number, since it uses less digits than its factorization.

3224572560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37054 (or 37034 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 3224572560 is about 56785.3199339407. The cubic root of 3224572560 is about 1477.3749058803.

The spelling of 3224572560 in words is "three billion, two hundred twenty-four million, five hundred seventy-two thousand, five hundred sixty".