6138303800 has 96 divisors (see below), whose sum is σ = 14816908800. Its totient is φ = 2362416000.

The previous prime is 6138303751. The next prime is 6138303803. The reversal of 6138303800 is 83038316.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6138303803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1107035 + ... + 1112565.

It is an arithmetic number, because the mean of its divisors is an integer number (154342800).

Almost surely, 2^6138303800 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 6138303800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408454400).

6138303800 is an abundant number, since it is smaller than the sum of its proper divisors (8678605000).

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

6138303800 is a wasteful number, since it uses less digits than its factorization.

6138303800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 6138303800 is about 78347.3279697527. The cubic root of 6138303800 is about 1830.9765956027.

The spelling of 6138303800 in words is "six billion, one hundred thirty-eight million, three hundred three thousand, eight hundred".