6315338400 has 288 divisors, whose sum is σ = 23587740288. Its totient is φ = 1437696000.

The previous prime is 6315338387. The next prime is 6315338443. The reversal of 6315338400 is 48335136.

It is a super-3 number, since 3×6315338400³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5257800 + ... + 5259000.

It is an arithmetic number, because the mean of its divisors is an integer number (81901876).

Almost surely, 2^6315338400 is an apocalyptic number.

6315338400 is a gapful number since it is divisible by the number (60) 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 6315338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793870144).

6315338400 is an abundant number, since it is smaller than the sum of its proper divisors (17272401888).

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

6315338400 is a wasteful number, since it uses less digits than its factorization.

6315338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 6315338400 is about 79469.1034302011. The cubic root of 6315338400 is about 1848.4124095974.

The spelling of 6315338400 in words is "six billion, three hundred fifteen million, three hundred thirty-eight thousand, four hundred".