3123442320 has 320 divisors, whose sum is σ = 10658317824. Its totient is φ = 754237440.

The previous prime is 3123442277. The next prime is 3123442331. The reversal of 3123442320 is 232443213.

3123442320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8373654 + ... + 8374026.

Almost surely, 2^3123442320 is an apocalyptic number.

3123442320 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 3123442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329158912).

3123442320 is an abundant number, since it is smaller than the sum of its proper divisors (7534875504).

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

3123442320 is a wasteful number, since it uses less digits than its factorization.

3123442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3123442320 is about 55887.7653874263. The cubic root of 3123442320 is about 1461.7659122567.

Adding to 3123442320 its reverse (232443213), we get a palindrome (3355885533).

The spelling of 3123442320 in words is "three billion, one hundred twenty-three million, four hundred forty-two thousand, three hundred twenty".