4634314300 has 216 divisors, whose sum is σ = 12877925760. Its totient is φ = 1405920000.

The previous prime is 4634314271. The next prime is 4634314309. The reversal of 4634314300 is 34134364.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4634314309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45884250 + ... + 45884350.

Almost surely, 2^4634314300 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 4634314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6438962880).

4634314300 is an abundant number, since it is smaller than the sum of its proper divisors (8243611460).

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

4634314300 is a wasteful number, since it uses less digits than its factorization.

4634314300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 4634314300 is about 68075.7981958346. The cubic root of 4634314300 is about 1667.2286376030.

Adding to 4634314300 its reverse (34134364), we get a palindrome (4668448664).

The spelling of 4634314300 in words is "four billion, six hundred thirty-four million, three hundred fourteen thousand, three hundred".