4689834600 has 384 divisors, whose sum is σ = 16873920000. Its totient is φ = 1065600000.

The previous prime is 4689834571. The next prime is 4689834601. The reversal of 4689834600 is 64389864.

It is a self number, because there is not a number n which added to its sum of digits gives 4689834600.

It is not an unprimeable number, because it can be changed into a prime (4689834601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18684475 + ... + 18684725.

It is an arithmetic number, because the mean of its divisors is an integer number (43942500).

Almost surely, 2^4689834600 is an apocalyptic number.

4689834600 is a gapful number since it is divisible by the number (40) 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 4689834600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960000).

4689834600 is an abundant number, since it is smaller than the sum of its proper divisors (12184085400).

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

4689834600 is a wasteful number, since it uses less digits than its factorization.

4689834600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 4689834600 is about 68482.3670735760. The cubic root of 4689834600 is about 1673.8601705437.

The spelling of 4689834600 in words is "four billion, six hundred eighty-nine million, eight hundred thirty-four thousand, six hundred".