3314608128 has 480 divisors, whose sum is σ = 11237826600. Its totient is φ = 966131712.

The previous prime is 3314608127. The next prime is 3314608139. The reversal of 3314608128 is 8218064133.

3314608128 is a `hidden beast` number, since 3 + 31 + 4 + 608 + 12 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2657608704 + 656999424 = 51552^2 + 25632^2 .

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 = 3314608092 and 3314608101.

It is not an unprimeable number, because it can be changed into a prime (3314608123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62539750 + ... + 62539802.

Almost surely, 2^3314608128 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 3314608128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618913300).

3314608128 is an abundant number, since it is smaller than the sum of its proper divisors (7923218472).

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

3314608128 is a wasteful number, since it uses less digits than its factorization.

3314608128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3314608128 is about 57572.6334989116. The cubic root of 3314608128 is about 1490.9991538765. Note that the first 3 decimals are identical.

The spelling of 3314608128 in words is "three billion, three hundred fourteen million, six hundred eight thousand, one hundred twenty-eight".