3128164900 has 243 divisors, whose sum is σ = 8570467731. Its totient is φ = 987947520.

The previous prime is 3128164859. The next prime is 3128164913. The reversal of 3128164900 is 94618213.

The square root of 3128164900 is 55930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 73170916 + 3054993984 = 8554^2 + 55272^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 66556677 + ... + 66556723.

Almost surely, 2^3128164900 is an apocalyptic number.

3128164900 is the 55930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3128164900

3128164900 is an abundant number, since it is smaller than the sum of its proper divisors (5442302831).

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

3128164900 is a wasteful number, since it uses less digits than its factorization.

3128164900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The cubic root of 3128164900 is about 1462.5022611794.

The spelling of 3128164900 in words is "three billion, one hundred twenty-eight million, one hundred sixty-four thousand, nine hundred".