38138124360 has 512 divisors, whose sum is σ = 145616486400. Its totient is φ = 7785676800.

The previous prime is 38138124331. The next prime is 38138124361. The reversal of 38138124360 is 6342183183.

It is not an unprimeable number, because it can be changed into a prime (38138124361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49594056 + ... + 49594824.

It is an arithmetic number, because the mean of its divisors is an integer number (284407200).

Almost surely, 2^38138124360 is an apocalyptic number.

38138124360 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 38138124360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72808243200).

38138124360 is an abundant number, since it is smaller than the sum of its proper divisors (107478362040).

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

38138124360 is a wasteful number, since it uses less digits than its factorization.

38138124360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 38138124360 in words is "thirty-eight billion, one hundred thirty-eight million, one hundred twenty-four thousand, three hundred sixty".