3456830328 has 64 divisors (see below), whose sum is σ = 9899781120. Its totient is φ = 985353600.

The previous prime is 3456830327. The next prime is 3456830357. The reversal of 3456830328 is 8230386543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3456830328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456830323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48538 + ... + 96278.

It is an arithmetic number, because the mean of its divisors is an integer number (154684080).

Almost surely, 2^3456830328 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 3456830328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949890560).

3456830328 is an abundant number, since it is smaller than the sum of its proper divisors (6442950792).

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

3456830328 is a wasteful number, since it uses less digits than its factorization.

3456830328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48188 (or 48184 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 3456830328 is about 58794.8154857212. The cubic root of 3456830328 is about 1512.0263320909.

The spelling of 3456830328 in words is "three billion, four hundred fifty-six million, eight hundred thirty thousand, three hundred twenty-eight".