3143242368 has 256 divisors, whose sum is σ = 10864224000. Its totient is φ = 875888640.

The previous prime is 3143242309. The next prime is 3143242373. The reversal of 3143242368 is 8632423413.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 990288 + ... + 993456.

It is an arithmetic number, because the mean of its divisors is an integer number (42438375).

Almost surely, 2^3143242368 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 3143242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432112000).

3143242368 is an abundant number, since it is smaller than the sum of its proper divisors (7720981632).

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

3143242368 is a wasteful number, since it uses less digits than its factorization.

3143242368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3222 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 3143242368 is about 56064.6267088259. The cubic root of 3143242368 is about 1464.8482050632.

The spelling of 3143242368 in words is "three billion, one hundred forty-three million, two hundred forty-two thousand, three hundred sixty-eight".