3128612256 has 768 divisors, whose sum is σ = 12355338240. Its totient is φ = 746496000.

The previous prime is 3128612251. The next prime is 3128612281. The reversal of 3128612256 is 6522168213.

3128612256 is a `hidden beast` number, since 3 + 12 + 8 + 612 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3128612256.

It is not an unprimeable number, because it can be changed into a prime (3128612251) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 76307596 + ... + 76307636.

It is an arithmetic number, because the mean of its divisors is an integer number (16087680).

Almost surely, 2^3128612256 is an apocalyptic number.

3128612256 is a gapful number since it is divisible by the number (36) 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 3128612256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177669120).

3128612256 is an abundant number, since it is smaller than the sum of its proper divisors (9226725984).

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

3128612256 is a wasteful number, since it uses less digits than its factorization.

3128612256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 3128612256 is about 55933.9991060893. Note that the first 3 decimals coincide. The cubic root of 3128612256 is about 1462.5719748930.

The spelling of 3128612256 in words is "three billion, one hundred twenty-eight million, six hundred twelve thousand, two hundred fifty-six".