3224866320 has 240 divisors, whose sum is σ = 11770340400. Its totient is φ = 786530304.

The previous prime is 3224866297. The next prime is 3224866339. The reversal of 3224866320 is 236684223.

3224866320 is a `hidden beast` number, since 32 + 248 + 66 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1716942096 + 1507924224 = 41436^2 + 38832^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1056156 + ... + 1059204.

It is an arithmetic number, because the mean of its divisors is an integer number (49043085).

Almost surely, 2^3224866320 is an apocalyptic number.

3224866320 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 3224866320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885170200).

3224866320 is an abundant number, since it is smaller than the sum of its proper divisors (8545474080).

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

3224866320 is a wasteful number, since it uses less digits than its factorization.

3224866320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3224866320 is about 56787.9064590340. The cubic root of 3224866320 is about 1477.4197676892.

The spelling of 3224866320 in words is "three billion, two hundred twenty-four million, eight hundred sixty-six thousand, three hundred twenty".