3225261312 has 216 divisors, whose sum is σ = 11445942144. Its totient is φ = 850563072.

The previous prime is 3225261293. The next prime is 3225261353. The reversal of 3225261312 is 2131625223.

It is a happy number.

3225261312 is a `hidden beast` number, since 3 + 2 + 2 + 526 + 131 + 2 = 666.

It is a super-2 number, since 2×3225261312² = 20804621061367922688, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 201973 + ... + 217355.

Almost surely, 2^3225261312 is an apocalyptic number.

3225261312 is a gapful number since it is divisible by the number (32) 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 3225261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722971072).

3225261312 is an abundant number, since it is smaller than the sum of its proper divisors (8220680832).

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

3225261312 is a wasteful number, since it uses less digits than its factorization.

3225261312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15425 (or 15408 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 3225261312 is about 56791.3841352718. The cubic root of 3225261312 is about 1477.4800849352.

Adding to 3225261312 its reverse (2131625223), we get a palindrome (5356886535).

The spelling of 3225261312 in words is "three billion, two hundred twenty-five million, two hundred sixty-one thousand, three hundred twelve".