38825800 has 96 divisors (see below), whose sum is σ = 98821800. Its totient is φ = 14100480.

The previous prime is 38825779. The next prime is 38825819. The reversal of 38825800 is 852883.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1542564 + 37283236 = 1242^2 + 6106^2 .

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 23 ways as a sum of consecutive naturals, for example, 283332 + ... + 283468.

Almost surely, 2^38825800 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 38825800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49410900).

38825800 is an abundant number, since it is smaller than the sum of its proper divisors (59996000).

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

38825800 is a wasteful number, since it uses less digits than its factorization.

38825800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 38825800 is about 6231.0352269908. The cubic root of 38825800 is about 338.6154769662.

The spelling of 38825800 in words is "thirty-eight million, eight hundred twenty-five thousand, eight hundred".