3128601672 has 192 divisors, whose sum is σ = 10209763200. Its totient is φ = 878999040.

The previous prime is 3128601667. The next prime is 3128601677. The reversal of 3128601672 is 2761068213.

3128601672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3128601667) and next prime (3128601677).

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

It is not an unprimeable number, because it can be changed into a prime (3128601677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 828204 + ... + 831972.

It is an arithmetic number, because the mean of its divisors is an integer number (53175850).

Almost surely, 2^3128601672 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 3128601672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104881600).

3128601672 is an abundant number, since it is smaller than the sum of its proper divisors (7081161528).

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

3128601672 is a wasteful number, since it uses less digits than its factorization.

3128601672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3128601672 is about 55933.9044945014. The cubic root of 3128601672 is about 1462.5703256124.

Adding to 3128601672 its reverse (2761068213), we get a palindrome (5889669885).

The spelling of 3128601672 in words is "three billion, one hundred twenty-eight million, six hundred one thousand, six hundred seventy-two".