3123132480 has 168 divisors, whose sum is σ = 11568741912. Its totient is φ = 768761856.

The previous prime is 3123132449. The next prime is 3123132499. The reversal of 3123132480 is 842313213.

3123132480 is a `hidden beast` number, since 31 + 23 + 132 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57517056 + 3065615424 = 7584^2 + 55368^2 .

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 23 ways as a sum of consecutive naturals, for example, 4269 + ... + 79148.

It is an arithmetic number, because the mean of its divisors is an integer number (68861559).

Almost surely, 2^3123132480 is an apocalyptic number.

3123132480 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 3123132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784370956).

3123132480 is an abundant number, since it is smaller than the sum of its proper divisors (8445609432).

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

3123132480 is a wasteful number, since it uses less digits than its factorization.

3123132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83453 (or 83440 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3123132480 is about 55884.9933345259. The cubic root of 3123132480 is about 1461.7175757868.

Adding to 3123132480 its reverse (842313213), we get a palindrome (3965445693).

The spelling of 3123132480 in words is "three billion, one hundred twenty-three million, one hundred thirty-two thousand, four hundred eighty".