3222830160 has 640 divisors, whose sum is σ = 13070592000. Its totient is φ = 727626240.

The previous prime is 3222830159. The next prime is 3222830213. The reversal of 3222830160 is 610382223.

3222830160 is a `hidden beast` number, since 322 + 283 + 0 + 1 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54624211 + ... + 54624269.

It is an arithmetic number, because the mean of its divisors is an integer number (20422800).

Almost surely, 2^3222830160 is an apocalyptic number.

3222830160 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 3222830160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535296000).

3222830160 is an abundant number, since it is smaller than the sum of its proper divisors (9847761840).

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

3222830160 is a wasteful number, since it uses less digits than its factorization.

3222830160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3222830160 is about 56769.9758675305. The cubic root of 3222830160 is about 1477.1087577547.

The spelling of 3222830160 in words is "three billion, two hundred twenty-two million, eight hundred thirty thousand, one hundred sixty".