3314257128 has 256 divisors, whose sum is σ = 11825049600. Its totient is φ = 835971840.

The previous prime is 3314257097. The next prime is 3314257157. The reversal of 3314257128 is 8217524133.

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 = 3314257092 and 3314257101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448423 + ... + 455753.

It is an arithmetic number, because the mean of its divisors is an integer number (46191600).

Almost surely, 2^3314257128 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 3314257128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5912524800).

3314257128 is an abundant number, since it is smaller than the sum of its proper divisors (8510792472).

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

3314257128 is a wasteful number, since it uses less digits than its factorization.

3314257128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7389 (or 7379 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3314257128 is about 57569.5850949093. The cubic root of 3314257128 is about 1490.9465222977.

The spelling of 3314257128 in words is "three billion, three hundred fourteen million, two hundred fifty-seven thousand, one hundred twenty-eight".