4834658304 has 432 divisors, whose sum is σ = 16713447660. Its totient is φ = 1341849600.

The previous prime is 4834658291. The next prime is 4834658321. The reversal of 4834658304 is 4038564384.

It can be written as a sum of positive squares in 2 ways, for example, as 4075545600 + 759112704 = 63840^2 + 27552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4834658304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47867854 + ... + 47867954.

Almost surely, 2^4834658304 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 4834658304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356723830).

4834658304 is an abundant number, since it is smaller than the sum of its proper divisors (11878789356).

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

4834658304 is a wasteful number, since it uses less digits than its factorization.

4834658304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 4834658304 is about 69531.7071845644. The cubic root of 4834658304 is about 1690.9155903764.

The spelling of 4834658304 in words is "four billion, eight hundred thirty-four million, six hundred fifty-eight thousand, three hundred four".