3128134464 has 560 divisors, whose sum is σ = 12047728000. Its totient is φ = 779341824.

The previous prime is 3128134463. The next prime is 3128134489. The reversal of 3128134464 is 4644318213.

3128134464 is a `hidden beast` number, since 31 + 281 + 344 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3128134463) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8962962 + ... + 8963310.

It is an arithmetic number, because the mean of its divisors is an integer number (21513800).

Almost surely, 2^3128134464 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 3128134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023864000).

3128134464 is an abundant number, since it is smaller than the sum of its proper divisors (8919593536).

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

3128134464 is a wasteful number, since it uses less digits than its factorization.

3128134464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 393 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3128134464 is about 55929.7279092255. The cubic root of 3128134464 is about 1462.4975179445.

The spelling of 3128134464 in words is "three billion, one hundred twenty-eight million, one hundred thirty-four thousand, four hundred sixty-four".