38851200 has 288 divisors, whose sum is σ = 147981600. Its totient is φ = 9676800.

The previous prime is 38851193. The next prime is 38851201. The reversal of 38851200 is 215883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38851201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 547165 + ... + 547235.

It is an arithmetic number, because the mean of its divisors is an integer number (513825).

Almost surely, 2^38851200 is an apocalyptic number.

38851200 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 38851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73990800).

38851200 is an abundant number, since it is smaller than the sum of its proper divisors (109130400).

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

38851200 is a wasteful number, since it uses less digits than its factorization.

38851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 38851200 is about 6233.0730783459. The cubic root of 38851200 is about 338.6893020879.

The spelling of 38851200 in words is "thirty-eight million, eight hundred fifty-one thousand, two hundred".