3428930304 has 432 divisors, whose sum is σ = 11208069600. Its totient is φ = 1003290624.

The previous prime is 3428930291. The next prime is 3428930363. The reversal of 3428930304 is 4030398243.

It is a happy number.

3428930304 is a `hidden beast` number, since 342 + 8 + 9 + 3 + 0 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 46971612 + ... + 46971684.

Almost surely, 2^3428930304 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 3428930304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604034800).

3428930304 is an abundant number, since it is smaller than the sum of its proper divisors (7779139296).

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

3428930304 is a wasteful number, since it uses less digits than its factorization.

3428930304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3428930304 is about 58557.0687790979. The cubic root of 3428930304 is about 1507.9474918805.

The spelling of 3428930304 in words is "three billion, four hundred twenty-eight million, nine hundred thirty thousand, three hundred four".