3457083728 has 80 divisors (see below), whose sum is σ = 7851926016. Its totient is φ = 1443657600.

The previous prime is 3457083719. The next prime is 3457083769. The reversal of 3457083728 is 8273807543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3288803 + ... + 3289853.

Almost surely, 2^3457083728 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 3457083728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925963008).

3457083728 is an abundant number, since it is smaller than the sum of its proper divisors (4394842288).

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

3457083728 is a wasteful number, since it uses less digits than its factorization.

3457083728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The square root of 3457083728 is about 58796.9703981421. The cubic root of 3457083728 is about 1512.0632771219.

The spelling of 3457083728 in words is "three billion, four hundred fifty-seven million, eighty-three thousand, seven hundred twenty-eight".