3264523200 has 504 divisors, whose sum is σ = 12263786496. Its totient is φ = 822528000.

The previous prime is 3264523187. The next prime is 3264523201. The reversal of 3264523200 is 23254623.

3264523200 is a `hidden beast` number, since 3 + 2 + 6 + 452 + 3 + 200 = 666.

It is a super-2 number, since 2×3264523200² = 21314223446676480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3264523201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31694349 + ... + 31694451.

Almost surely, 2^3264523200 is an apocalyptic number.

3264523200 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 3264523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131893248).

3264523200 is an abundant number, since it is smaller than the sum of its proper divisors (8999263296).

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

3264523200 is a wasteful number, since it uses less digits than its factorization.

3264523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3264523200 is about 57136.0061607390. The cubic root of 3264523200 is about 1483.4511620690.

Adding to 3264523200 its reverse (23254623), we get a palindrome (3287777823).

The spelling of 3264523200 in words is "three billion, two hundred sixty-four million, five hundred twenty-three thousand, two hundred".