3123146520 has 192 divisors, whose sum is σ = 11011946400. Its totient is φ = 763084800.

The previous prime is 3123146519. The next prime is 3123146557. The reversal of 3123146520 is 256413213.

3123146520 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 1 + 4 + 652 + 0 = 666.

It is a super-3 number, since 3×3123146520³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 648120 + ... + 652920.

Almost surely, 2^3123146520 is an apocalyptic number.

3123146520 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 3123146520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505973200).

3123146520 is an abundant number, since it is smaller than the sum of its proper divisors (7888799880).

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

3123146520 is a wasteful number, since it uses less digits than its factorization.

3123146520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3123146520 is about 55885.1189495021. The cubic root of 3123146520 is about 1461.7197661607.

Adding to 3123146520 its reverse (256413213), we get a palindrome (3379559733).

The spelling of 3123146520 in words is "three billion, one hundred twenty-three million, one hundred forty-six thousand, five hundred twenty".