38300409600 has 432 divisors, whose sum is σ = 135029190912. Its totient is φ = 9537454080.

The previous prime is 38300409593. The next prime is 38300409601. The reversal of 38300409600 is 690400383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38300409601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18987792 + ... + 18989808.

Almost surely, 2^38300409600 is an apocalyptic number.

38300409600 is a gapful number since it is divisible by the number (30) 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 38300409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67514595456).

38300409600 is an abundant number, since it is smaller than the sum of its proper divisors (96728781312).

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

38300409600 is a wasteful number, since it uses less digits than its factorization.

38300409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 38300409600 its reverse (690400383), we get a palindrome (38990809983).

The spelling of 38300409600 in words is "thirty-eight billion, three hundred million, four hundred nine thousand, six hundred".