38838500 has 48 divisors (see below), whose sum is σ = 85503600. Its totient is φ = 15411200.

The previous prime is 38838479. The next prime is 38838529. The reversal of 38838500 is 583883.

It can be written as a sum of positive squares in 8 ways, for example, as 3602404 + 35236096 = 1898^2 + 5936^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86276 + ... + 86724.

It is an arithmetic number, because the mean of its divisors is an integer number (1781325).

Almost surely, 2^38838500 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 38838500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42751800).

38838500 is an abundant number, since it is smaller than the sum of its proper divisors (46665100).

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

38838500 is a wasteful number, since it uses less digits than its factorization.

38838500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 38838500 is about 6232.0542359643. The cubic root of 38838500 is about 338.6523935505.

The spelling of 38838500 in words is "thirty-eight million, eight hundred thirty-eight thousand, five hundred".