3126146320 has 200 divisors, whose sum is σ = 8519287320. Its totient is φ = 1063096320.

The previous prime is 3126146293. The next prime is 3126146327. The reversal of 3126146320 is 236416213.

It can be written as a sum of positive squares in 4 ways, for example, as 393784336 + 2732361984 = 19844^2 + 52272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3126146327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19911682 + ... + 19911838.

Almost surely, 2^3126146320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3126146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259643660).

3126146320 is an abundant number, since it is smaller than the sum of its proper divisors (5393141000).

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

3126146320 is a wasteful number, since it uses less digits than its factorization.

3126146320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3126146320 is about 55911.9514951857. The cubic root of 3126146320 is about 1462.1876131198.

The spelling of 3126146320 in words is "three billion, one hundred twenty-six million, one hundred forty-six thousand, three hundred twenty".