38315200 has 168 divisors, whose sum is σ = 117921024. Its totient is φ = 11904000.

The previous prime is 38315143. The next prime is 38315209. The reversal of 38315200 is 251383.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (38315209) 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, 123045 + ... + 123355.

Almost surely, 2^38315200 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 38315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58960512).

38315200 is an abundant number, since it is smaller than the sum of its proper divisors (79605824).

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

38315200 is a wasteful number, since it uses less digits than its factorization.

38315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 38315200 is about 6189.9273016733. The cubic root of 38315200 is about 337.1245390247.

Adding to 38315200 its reverse (251383), we get a palindrome (38566583).

The spelling of 38315200 in words is "thirty-eight million, three hundred fifteen thousand, two hundred".