3224331360 has 480 divisors, whose sum is σ = 12316328640. Its totient is φ = 791949312.

The previous prime is 3224331349. The next prime is 3224331361. The reversal of 3224331360 is 631334223.

It is a happy number.

3224331360 is a `hidden beast` number, since 32 + 243 + 31 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224331361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8644134 + ... + 8644506.

It is an arithmetic number, because the mean of its divisors is an integer number (25659018).

Almost surely, 2^3224331360 is an apocalyptic number.

3224331360 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 3224331360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6158164320).

3224331360 is an abundant number, since it is smaller than the sum of its proper divisors (9091997280).

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

3224331360 is a wasteful number, since it uses less digits than its factorization.

3224331360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3224331360 is about 56783.1961058903. The cubic root of 3224331360 is about 1477.3380687796.

Adding to 3224331360 its reverse (631334223), we get a palindrome (3855665583).

The spelling of 3224331360 in words is "three billion, two hundred twenty-four million, three hundred thirty-one thousand, three hundred sixty".