38131200 has 180 divisors, whose sum is σ = 136873308. Its totient is φ = 10137600.

The previous prime is 38131193. The next prime is 38131211. The reversal of 38131200 is 213183.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115035 + ... + 115365.

Almost surely, 2^38131200 is an apocalyptic number.

38131200 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 38131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68436654).

38131200 is an abundant number, since it is smaller than the sum of its proper divisors (98742108).

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

38131200 is a wasteful number, since it uses less digits than its factorization.

38131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 38131200 is about 6175.0465585289. The cubic root of 38131200 is about 336.5840183142.

Adding to 38131200 its reverse (213183), we get a palindrome (38344383).

The spelling of 38131200 in words is "thirty-eight million, one hundred thirty-one thousand, two hundred".