3253315200 has 192 divisors, whose sum is σ = 10814040000. Its totient is φ = 859586560.

The previous prime is 3253315193. The next prime is 3253315213. The reversal of 3253315200 is 25133523.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1083301 + ... + 1086299.

It is an arithmetic number, because the mean of its divisors is an integer number (56323125).

Almost surely, 2^3253315200 is an apocalyptic number.

3253315200 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 3253315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407020000).

3253315200 is an abundant number, since it is smaller than the sum of its proper divisors (7560724800).

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

3253315200 is a wasteful number, since it uses less digits than its factorization.

3253315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 3253315200 is about 57037.8400713070. The cubic root of 3253315200 is about 1481.7515177639.

Adding to 3253315200 its reverse (25133523), we get a palindrome (3278448723).

The spelling of 3253315200 in words is "three billion, two hundred fifty-three million, three hundred fifteen thousand, two hundred".