3218068224 has 288 divisors, whose sum is σ = 10961072640. Its totient is φ = 912273408.

The previous prime is 3218068187. The next prime is 3218068267. The reversal of 3218068224 is 4228608123.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10983022 + ... + 10983314.

It is an arithmetic number, because the mean of its divisors is an integer number (38059280).

Almost surely, 2^3218068224 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 3218068224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480536320).

3218068224 is an abundant number, since it is smaller than the sum of its proper divisors (7743004416).

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

3218068224 is a wasteful number, since it uses less digits than its factorization.

3218068224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3218068224 is about 56728.0197433332. The cubic root of 3218068224 is about 1476.3808918512.

The spelling of 3218068224 in words is "three billion, two hundred eighteen million, sixty-eight thousand, two hundred twenty-four".