38038425600 has 936 divisors, whose sum is σ = 154790241600. Its totient is φ = 8236892160.

The previous prime is 38038425569. The next prime is 38038425641. The reversal of 38038425600 is 652483083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2002022391 + ... + 2002022409.

Almost surely, 2^38038425600 is an apocalyptic number.

38038425600 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 38038425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77395120800).

38038425600 is an abundant number, since it is smaller than the sum of its proper divisors (116751816000).

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

38038425600 is an equidigital number, since it uses as much as digits as its factorization.

38038425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 38038425600 in words is "thirty-eight billion, thirty-eight million, four hundred twenty-five thousand, six hundred".