4638338364 has 48 divisors (see below), whose sum is σ = 12094661376. Its totient is φ = 1371273600.

The previous prime is 4638338363. The next prime is 4638338381.

4638338364 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638338363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423112 + ... + 433935.

It is an arithmetic number, because the mean of its divisors is an integer number (251972112).

Almost surely, 2^4638338364 is an apocalyptic number.

4638338364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4638338364 is an abundant number, since it is smaller than the sum of its proper divisors (7456323012).

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

4638338364 is a wasteful number, since it uses less digits than its factorization.

4638338364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857106 (or 857104 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The square root of 4638338364 is about 68105.3475433464. The cubic root of 4638338364 is about 1667.7110601997.

The spelling of 4638338364 in words is "four billion, six hundred thirty-eight million, three hundred thirty-eight thousand, three hundred sixty-four".