38889200 has 240 divisors, whose sum is σ = 121777920. Its totient is φ = 11612160.

The previous prime is 38889139. The next prime is 38889209. The reversal of 38889200 is 298883.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38889209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 904379 + ... + 904421.

It is an arithmetic number, because the mean of its divisors is an integer number (507408).

Almost surely, 2^38889200 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 38889200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60888960).

38889200 is an abundant number, since it is smaller than the sum of its proper divisors (82888720).

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

38889200 is a wasteful number, since it uses less digits than its factorization.

38889200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 38889200 is about 6236.1205889559. The cubic root of 38889200 is about 338.7996890660.

The spelling of 38889200 in words is "thirty-eight million, eight hundred eighty-nine thousand, two hundred".