3220468000 has 192 divisors, whose sum is σ = 8247264480. Its totient is φ = 1234944000.

The previous prime is 3220467973. The next prime is 3220468001. The reversal of 3220468000 is 8640223.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1412857744 + 1807610256 = 37588^2 + 42516^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3220468001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11971866 + ... + 11972134.

Almost surely, 2^3220468000 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 3220468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123632240).

3220468000 is an abundant number, since it is smaller than the sum of its proper divisors (5026796480).

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

3220468000 is a wasteful number, since it uses less digits than its factorization.

3220468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3220468000 is about 56749.1673947733. The cubic root of 3220468000 is about 1476.7477893042.

The spelling of 3220468000 in words is "three billion, two hundred twenty million, four hundred sixty-eight thousand".