3142224000 has 192 divisors, whose sum is σ = 11285029080. Its totient is φ = 837888000.

The previous prime is 3142223993. The next prime is 3142224023. The reversal of 3142224000 is 4222413.

3142224000 is a `hidden beast` number, since 3 + 1 + 422 + 240 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1060674624 + 2081549376 = 32568^2 + 45624^2 .

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 (18).

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, 133090 + ... + 154910.

Almost surely, 2^3142224000 is an apocalyptic number.

3142224000 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 3142224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642514540).

3142224000 is an abundant number, since it is smaller than the sum of its proper divisors (8142805080).

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

3142224000 is a wasteful number, since it uses less digits than its factorization.

3142224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21856 (or 21831 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3142224000 is about 56055.5438828311. The cubic root of 3142224000 is about 1464.6899909757.

Adding to 3142224000 its reverse (4222413), we get a palindrome (3146446413).

The spelling of 3142224000 in words is "three billion, one hundred forty-two million, two hundred twenty-four thousand".