3212812800 has 270 divisors, whose sum is σ = 11567031333. Its totient is φ = 851619840.

The previous prime is 3212812787. The next prime is 3212812817. The reversal of 3212812800 is 82182123.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3148556544 + 64256256 = 56112^2 + 8016^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=40080.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 19238317 + ... + 19238483.

Almost surely, 2^3212812800 is an apocalyptic number.

3212812800 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 3212812800

3212812800 is an abundant number, since it is smaller than the sum of its proper divisors (8354218533).

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

3212812800 is an equidigital number, since it uses as much as digits as its factorization.

3212812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 3212812800 is about 56681.6795799136. The cubic root of 3212812800 is about 1475.5767618980.

Adding to 3212812800 its reverse (82182123), we get a palindrome (3294994923).

The spelling of 3212812800 in words is "three billion, two hundred twelve million, eight hundred twelve thousand, eight hundred".