38144106 has 192 divisors, whose sum is σ = 116363520. Its totient is φ = 8709120.

The previous prime is 38144101. The next prime is 38144129. The reversal of 38144106 is 60144183.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38144106.

It is not an unprimeable number, because it can be changed into a prime (38144101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 522486 + ... + 522558.

It is an arithmetic number, because the mean of its divisors is an integer number (606060).

Almost surely, 2^38144106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38144106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58181760).

38144106 is an abundant number, since it is smaller than the sum of its proper divisors (78219414).

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

38144106 is a wasteful number, since it uses less digits than its factorization.

38144106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38144106 is about 6176.0914824831. The cubic root of 38144106 is about 336.6219877753.

Adding to 38144106 its reverse (60144183), we get a palindrome (98288289).

The spelling of 38144106 in words is "thirty-eight million, one hundred forty-four thousand, one hundred six".