3220964208 has 240 divisors, whose sum is σ = 11830790400. Its totient is φ = 792529920.

The previous prime is 3220964207. The next prime is 3220964213. The reversal of 3220964208 is 8024690223.

3220964208 is a `hidden beast` number, since 3 + 2 + 2 + 0 + 9 + 642 + 0 + 8 = 666.

It is a super-2 number, since 2×3220964208² = 20749220858434134528, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220964207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203028 + ... + 218316.

It is an arithmetic number, because the mean of its divisors is an integer number (49294960).

Almost surely, 2^3220964208 is an apocalyptic number.

3220964208 is a gapful number since it is divisible by the number (38) 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 3220964208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915395200).

3220964208 is an abundant number, since it is smaller than the sum of its proper divisors (8609826192).

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

3220964208 is a wasteful number, since it uses less digits than its factorization.

3220964208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15340 (or 15331 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3220964208 is about 56753.5391671744. The cubic root of 3220964208 is about 1476.8236309143.

The spelling of 3220964208 in words is "three billion, two hundred twenty million, nine hundred sixty-four thousand, two hundred eight".