3128668620 has 288 divisors, whose sum is σ = 11252183040. Its totient is φ = 642216960.

The previous prime is 3128668591. The next prime is 3128668639. The reversal of 3128668620 is 268668213.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2877717 + ... + 2878803.

It is an arithmetic number, because the mean of its divisors is an integer number (39070080).

Almost surely, 2^3128668620 is an apocalyptic number.

3128668620 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 3128668620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626091520).

3128668620 is an abundant number, since it is smaller than the sum of its proper divisors (8123514420).

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

3128668620 is a wasteful number, since it uses less digits than its factorization.

3128668620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3128668620 is about 55934.5029476440. The cubic root of 3128668620 is about 1462.5807579045.

The spelling of 3128668620 in words is "three billion, one hundred twenty-eight million, six hundred sixty-eight thousand, six hundred twenty".