38205000 has 160 divisors (see below), whose sum is σ = 133082400. Its totient is φ = 10152000.

The previous prime is 38204993. The next prime is 38205023. The reversal of 38205000 is 50283.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134859 + ... + 135141.

It is an arithmetic number, because the mean of its divisors is an integer number (831765).

Almost surely, 2^38205000 is an apocalyptic number.

38205000 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 38205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66541200).

38205000 is an abundant number, since it is smaller than the sum of its proper divisors (94877400).

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

38205000 is a wasteful number, since it uses less digits than its factorization.

38205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 38205000 is about 6181.0193334110. The cubic root of 38205000 is about 336.8010225218.

Adding to 38205000 its reverse (50283), we get a palindrome (38255283).

The spelling of 38205000 in words is "thirty-eight million, two hundred five thousand".