3200052800 has 294 divisors, whose sum is σ = 9726854562. Its totient is φ = 1032622080.

The previous prime is 3200052703. The next prime is 3200052803. The reversal of 3200052800 is 82500023.

It can be written as a sum of positive squares in 3 ways, for example, as 481890304 + 2718162496 = 21952^2 + 52136^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

3200052800 is a modest number, since divided by 52800 gives 3200 as remainder.

It is not an unprimeable number, because it can be changed into a prime (3200052803) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 188238392 + ... + 188238408.

Almost surely, 2^3200052800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863427281).

3200052800 is an abundant number, since it is smaller than the sum of its proper divisors (6526801762).

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

3200052800 is an frugal number, since it uses more digits than its factorization.

3200052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3200052800 is about 56569.0091834743. The cubic root of 3200052800 is about 1473.6207042809.

Adding to 3200052800 its reverse (82500023), we get a palindrome (3282552823).

The spelling of 3200052800 in words is "three billion, two hundred million, fifty-two thousand, eight hundred".