3126352320 has 672 divisors, whose sum is σ = 13491179520. Its totient is φ = 646963200.

The previous prime is 3126352319. The next prime is 3126352351. The reversal of 3126352320 is 232536213.

3126352320 is a `hidden beast` number, since 3 + 1 + 2 + 635 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20704245 + ... + 20704395.

It is an arithmetic number, because the mean of its divisors is an integer number (20076160).

Almost surely, 2^3126352320 is an apocalyptic number.

3126352320 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 3126352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745589760).

3126352320 is an abundant number, since it is smaller than the sum of its proper divisors (10364827200).

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

3126352320 is a wasteful number, since it uses less digits than its factorization.

3126352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3126352320 is about 55913.7936470063. The cubic root of 3126352320 is about 1462.2197297689.

Adding to 3126352320 its reverse (232536213), we get a palindrome (3358888533).

The spelling of 3126352320 in words is "three billion, one hundred twenty-six million, three hundred fifty-two thousand, three hundred twenty".