3142231200 has 432 divisors, whose sum is σ = 11653551000. Its totient is φ = 795648000.

The previous prime is 3142231187. The next prime is 3142231219. The reversal of 3142231200 is 21322413.

It can be written as a sum of positive squares in 12 ways, for example, as 345513744 + 2796717456 = 18588^2 + 52884^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21088726 + ... + 21088874.

Almost surely, 2^3142231200 is an apocalyptic number.

3142231200 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 3142231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826775500).

3142231200 is an abundant number, since it is smaller than the sum of its proper divisors (8511319800).

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

3142231200 is a wasteful number, since it uses less digits than its factorization.

3142231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3142231200 is about 56055.6081048096. The cubic root of 3142231200 is about 1464.6911096908.

Adding to 3142231200 its reverse (21322413), we get a palindrome (3163553613).

The spelling of 3142231200 in words is "three billion, one hundred forty-two million, two hundred thirty-one thousand, two hundred".