4349666304 has 165 divisors, whose sum is σ = 13045921977. Its totient is φ = 1443557376.

The previous prime is 4349666281. The next prime is 4349666323. The reversal of 4349666304 is 4036669434.

The square root of 4349666304 is 65952.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4051067904 + 298598400 = 63648^2 + 17280^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4349666304.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18994062 + ... + 18994290.

Almost surely, 2^4349666304 is an apocalyptic number.

4349666304 is the 65952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4349666304

4349666304 is an abundant number, since it is smaller than the sum of its proper divisors (8696255673).

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

4349666304 is an frugal number, since it uses more digits than its factorization.

4349666304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The cubic root of 4349666304 is about 1632.3701582516.

The spelling of 4349666304 in words is "four billion, three hundred forty-nine million, six hundred sixty-six thousand, three hundred four".