3222178560 has 216 divisors, whose sum is σ = 11634071904. Its totient is φ = 821821440.

The previous prime is 3222178529. The next prime is 3222178591. The reversal of 3222178560 is 658712223.

3222178560 is a `hidden beast` number, since 3 + 2 + 2 + 21 + 78 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (3222178529) and next prime (3222178591).

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 23 ways as a sum of consecutive naturals, for example, 258880 + ... + 271040.

It is an arithmetic number, because the mean of its divisors is an integer number (53861444).

Almost surely, 2^3222178560 is an apocalyptic number.

3222178560 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 3222178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5817035952).

3222178560 is an abundant number, since it is smaller than the sum of its proper divisors (8411893344).

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

3222178560 is a wasteful number, since it uses less digits than its factorization.

3222178560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12211 (or 12194 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3222178560 is about 56764.2366283561. The cubic root of 3222178560 is about 1477.0092025096.

The spelling of 3222178560 in words is "three billion, two hundred twenty-two million, one hundred seventy-eight thousand, five hundred sixty".