3128464620 has 144 divisors (see below), whose sum is σ = 9881857440. Its totient is φ = 830808576.

The previous prime is 3128464583. The next prime is 3128464637. The reversal of 3128464620 is 264648213.

3128464620 is a `hidden beast` number, since 3 + 1 + 2 + 8 + 4 + 646 + 2 + 0 = 666.

It is a super-3 number, since 3×3128464620³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1306144 + ... + 1308536.

It is an arithmetic number, because the mean of its divisors is an integer number (68624010).

Almost surely, 2^3128464620 is an apocalyptic number.

3128464620 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 3128464620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940928720).

3128464620 is an abundant number, since it is smaller than the sum of its proper divisors (6753392820).

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

3128464620 is a wasteful number, since it uses less digits than its factorization.

3128464620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2672 counting only the distinct ones).

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

The square root of 3128464620 is about 55932.6793565264. The cubic root of 3128464620 is about 1462.5489687746.

The spelling of 3128464620 in words is "three billion, one hundred twenty-eight million, four hundred sixty-four thousand, six hundred twenty".