3112023200 has 216 divisors, whose sum is σ = 8996666364. Its totient is φ = 1044172800.

The previous prime is 3112023191. The next prime is 3112023241. The reversal of 3112023200 is 23202113.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 924403216 + 2187619984 = 30404^2 + 46772^2 .

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 35 ways as a sum of consecutive naturals, for example, 1257164 + ... + 1259636.

Almost surely, 2^3112023200 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 3112023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498333182).

3112023200 is an abundant number, since it is smaller than the sum of its proper divisors (5884643164).

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

3112023200 is a wasteful number, since it uses less digits than its factorization.

3112023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3112023200 is about 55785.5106636123. The cubic root of 3112023200 is about 1459.9823604549.

Adding to 3112023200 its reverse (23202113), we get a palindrome (3135225313).

The spelling of 3112023200 in words is "three billion, one hundred twelve million, twenty-three thousand, two hundred".