3427288128 has 336 divisors, whose sum is σ = 11605711104. Its totient is φ = 955269120.

The previous prime is 3427288127. The next prime is 3427288141. The reversal of 3427288128 is 8218827243.

3427288128 is a `hidden beast` number, since 342 + 7 + 288 + 1 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (3427288127) 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, 5062126 + ... + 5062802.

Almost surely, 2^3427288128 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 3427288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802855552).

3427288128 is an abundant number, since it is smaller than the sum of its proper divisors (8178422976).

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

3427288128 is a wasteful number, since it uses less digits than its factorization.

3427288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 757 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 3427288128 is about 58543.0450865002. The cubic root of 3427288128 is about 1507.7067257733.

The spelling of 3427288128 in words is "three billion, four hundred twenty-seven million, two hundred eighty-eight thousand, one hundred twenty-eight".