3128515968 has 64 divisors (see below), whose sum is σ = 8375685120. Its totient is φ = 1034611200.

The previous prime is 3128515963. The next prime is 3128515979. The reversal of 3128515968 is 8695158213.

It is a happy number.

3128515968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3128515968² = 19575224324061954048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3128515963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16693 + ... + 80843.

It is an arithmetic number, because the mean of its divisors is an integer number (130870080).

Almost surely, 2^3128515968 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 3128515968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187842560).

3128515968 is an abundant number, since it is smaller than the sum of its proper divisors (5247169152).

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

3128515968 is a wasteful number, since it uses less digits than its factorization.

3128515968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64295 (or 64283 counting only the distinct ones).

The product of its digits is 518400, while the sum is 48.

The square root of 3128515968 is about 55933.1383707369. The cubic root of 3128515968 is about 1462.5569704157.

The spelling of 3128515968 in words is "three billion, one hundred twenty-eight million, five hundred fifteen thousand, nine hundred sixty-eight".