38262500 has 36 divisors (see below), whose sum is σ = 83721204. Its totient is φ = 15300000.

The previous prime is 38262493. The next prime is 38262509. The reversal of 38262500 is 526283.

It can be written as a sum of positive squares in 6 ways, for example, as 21827584 + 16434916 = 4672^2 + 4054^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38262500.

It is not an unprimeable number, because it can be changed into a prime (38262509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10970 + ... + 14030.

It is an arithmetic number, because the mean of its divisors is an integer number (2325589).

Almost surely, 2^38262500 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 38262500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41860602).

38262500 is an abundant number, since it is smaller than the sum of its proper divisors (45458704).

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

38262500 is an equidigital number, since it uses as much as digits as its factorization.

38262500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 38262500 is about 6185.6689209818. The cubic root of 38262500 is about 336.9699040064.

Adding to 38262500 its reverse (526283), we get a palindrome (38788783).

The spelling of 38262500 in words is "thirty-eight million, two hundred sixty-two thousand, five hundred".