3200115200 has 240 divisors, whose sum is σ = 8459759880. Its totient is φ = 1197342720.

The previous prime is 3200115181. The next prime is 3200115221. The reversal of 3200115200 is 25110023.

It is a happy number.

3200115200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 339149056 + 2860966144 = 18416^2 + 53488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13734284 + ... + 13734516.

Almost surely, 2^3200115200 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 3200115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229879940).

3200115200 is an abundant number, since it is smaller than the sum of its proper divisors (5259644680).

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

3200115200 is a wasteful number, since it uses less digits than its factorization.

3200115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 3200115200 is about 56569.5607195248. The cubic root of 3200115200 is about 1473.6302825952.

Adding to 3200115200 its reverse (25110023), we get a palindrome (3225225223).

It can be divided in two parts, 3200 and 115200, that multiplied together give a square (368640000 = 19200²).

The spelling of 3200115200 in words is "three billion, two hundred million, one hundred fifteen thousand, two hundred".