3480128568 has 288 divisors, whose sum is σ = 11323784160. Its totient is φ = 962357760.

The previous prime is 3480128537. The next prime is 3480128569. The reversal of 3480128568 is 8658210843.

3480128568 is a `hidden beast` number, since 3 + 4 + 80 + 1 + 2 + 8 + 568 = 666.

It is a super-2 number, since 2×3480128568² = 24222589699619461248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480128569) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 22166346 + ... + 22166502.

It is an arithmetic number, because the mean of its divisors is an integer number (39318695).

Almost surely, 2^3480128568 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 3480128568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661892080).

3480128568 is an abundant number, since it is smaller than the sum of its proper divisors (7843655592).

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

3480128568 is a wasteful number, since it uses less digits than its factorization.

3480128568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 3480128568 is about 58992.6145208025. The cubic root of 3480128568 is about 1515.4156321318.

The spelling of 3480128568 in words is "three billion, four hundred eighty million, one hundred twenty-eight thousand, five hundred sixty-eight".