38245200 has 240 divisors, whose sum is σ = 145764480. Its totient is φ = 8386560.

The previous prime is 38245199. The next prime is 38245219. The reversal of 38245200 is 254283.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243522 + ... + 243678.

It is an arithmetic number, because the mean of its divisors is an integer number (607352).

Almost surely, 2^38245200 is an apocalyptic number.

38245200 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 38245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72882240).

38245200 is an abundant number, since it is smaller than the sum of its proper divisors (107519280).

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

38245200 is a wasteful number, since it uses less digits than its factorization.

38245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 38245200 is about 6184.2703692513. The cubic root of 38245200 is about 336.9191105127.

Adding to 38245200 its reverse (254283), we get a palindrome (38499483).

The spelling of 38245200 in words is "thirty-eight million, two hundred forty-five thousand, two hundred".