3143824920 has 256 divisors, whose sum is σ = 11104128000. Its totient is φ = 789516288.

The previous prime is 3143824907. The next prime is 3143824921. The reversal of 3143824920 is 294283413.

It is a super-2 number, since 2×3143824920² = 19767270255226012800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3143824921) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1663336 + ... + 1665224.

It is an arithmetic number, because the mean of its divisors is an integer number (43375500).

Almost surely, 2^3143824920 is an apocalyptic number.

3143824920 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 3143824920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552064000).

3143824920 is an abundant number, since it is smaller than the sum of its proper divisors (7960303080).

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

3143824920 is a wasteful number, since it uses less digits than its factorization.

3143824920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3143824920 is about 56069.8218295725. The cubic root of 3143824920 is about 1464.9386952257.

The spelling of 3143824920 in words is "three billion, one hundred forty-three million, eight hundred twenty-four thousand, nine hundred twenty".