3459428352 has 130 divisors (see below), whose sum is σ = 10335305508. Its totient is φ = 1153032192.

The previous prime is 3459428339. The next prime is 3459428359. The reversal of 3459428352 is 2538249543.

3459428352 is a `hidden beast` number, since 3 + 4 + 594 + 2 + 8 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3459428298 and 3459428307.

It is not an unprimeable number, because it can be changed into a prime (3459428359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 326563 + ... + 336989.

Almost surely, 2^3459428352 is an apocalyptic number.

3459428352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3459428352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5167652754).

3459428352 is an abundant number, since it is smaller than the sum of its proper divisors (6875877156).

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

3459428352 is an equidigital number, since it uses as much as digits as its factorization.

3459428352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10463 (or 10432 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 3459428352 is about 58816.9053249149. The cubic root of 3459428352 is about 1512.4050313251.

The spelling of 3459428352 in words is "three billion, four hundred fifty-nine million, four hundred twenty-eight thousand, three hundred fifty-two".