3240268200 has 288 divisors, whose sum is σ = 11922674400. Its totient is φ = 783751680.

The previous prime is 3240268177. The next prime is 3240268277. The reversal of 3240268200 is 28620423.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1379427 + ... + 1381773.

It is an arithmetic number, because the mean of its divisors is an integer number (41398175).

Almost surely, 2^3240268200 is an apocalyptic number.

3240268200 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 3240268200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961337200).

3240268200 is an abundant number, since it is smaller than the sum of its proper divisors (8682406200).

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

3240268200 is a wasteful number, since it uses less digits than its factorization.

3240268200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3240268200 is about 56923.3537311357. The cubic root of 3240268200 is about 1479.7680729828.

Adding to 3240268200 its reverse (28620423), we get a palindrome (3268888623).

The spelling of 3240268200 in words is "three billion, two hundred forty million, two hundred sixty-eight thousand, two hundred".