38268200 has 24 divisors (see below), whose sum is σ = 88974030. Its totient is φ = 15307200.

The previous prime is 38268179. The next prime is 38268203. The reversal of 38268200 is 286283.

38268200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 35976004 + 2292196 = 5998^2 + 1514^2 .

It is not an unprimeable number, because it can be changed into a prime (38268203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 95471 + ... + 95870.

Almost surely, 2^38268200 is an apocalyptic number.

It is an amenable number.

38268200 is an abundant number, since it is smaller than the sum of its proper divisors (50705830).

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

38268200 is a wasteful number, since it uses less digits than its factorization.

38268200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191357 (or 191348 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 38268200 is about 6186.1296462328. The cubic root of 38268200 is about 336.9866360816.

The spelling of 38268200 in words is "thirty-eight million, two hundred sixty-eight thousand, two hundred".