38126242518 has 192 divisors, whose sum is σ = 96979599360. Its totient is φ = 9932533632.

The previous prime is 38126242481. The next prime is 38126242543. The reversal of 38126242518 is 81524262183.

It is a super-2 number, since 2×38126242518² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 38126242518.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166490028 + ... + 166490256.

It is an arithmetic number, because the mean of its divisors is an integer number (505102080).

Almost surely, 2^38126242518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38126242518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48489799680).

38126242518 is an abundant number, since it is smaller than the sum of its proper divisors (58853356842).

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

38126242518 is a wasteful number, since it uses less digits than its factorization.

38126242518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 381 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The spelling of 38126242518 in words is "thirty-eight billion, one hundred twenty-six million, two hundred forty-two thousand, five hundred eighteen".