38141135600 has 120 divisors (see below), whose sum is σ = 94139683008. Its totient is φ = 14841446400.

The previous prime is 38141135597. The next prime is 38141135609. The reversal of 38141135600 is 653114183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38141135609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6015632 + ... + 6021968.

Almost surely, 2^38141135600 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 38141135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47069841504).

38141135600 is an abundant number, since it is smaller than the sum of its proper divisors (55998547408).

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

38141135600 is a wasteful number, since it uses less digits than its factorization.

38141135600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6763 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 38141135600 its reverse (653114183), we get a palindrome (38794249783).

The spelling of 38141135600 in words is "thirty-eight billion, one hundred forty-one million, one hundred thirty-five thousand, six hundred".