3128336640 has 720 divisors, whose sum is σ = 13213037376. Its totient is φ = 696729600.

The previous prime is 3128336623. The next prime is 3128336677. The reversal of 3128336640 is 466338213.

3128336640 is a `hidden beast` number, since 3 + 1 + 2 + 8 + 3 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 3128336595 and 3128336604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14826135 + ... + 14826345.

Almost surely, 2^3128336640 is an apocalyptic number.

3128336640 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 3128336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606518688).

3128336640 is an abundant number, since it is smaller than the sum of its proper divisors (10084700736).

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

3128336640 is a wasteful number, since it uses less digits than its factorization.

3128336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3128336640 is about 55931.5352909251. The cubic root of 3128336640 is about 1462.5290250650.

The spelling of 3128336640 in words is "three billion, one hundred twenty-eight million, three hundred thirty-six thousand, six hundred forty".