38265900 has 72 divisors (see below), whose sum is σ = 111399120. Its totient is φ = 10141440.

The previous prime is 38265889. The next prime is 38265901. The reversal of 38265900 is 956283.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (38265901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68422 + ... + 68978.

It is an arithmetic number, because the mean of its divisors is an integer number (1547210).

Almost surely, 2^38265900 is an apocalyptic number.

38265900 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 38265900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55699560).

38265900 is an abundant number, since it is smaller than the sum of its proper divisors (73133220).

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

38265900 is a wasteful number, since it uses less digits than its factorization.

38265900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 38265900 is about 6185.9437436821. The cubic root of 38265900 is about 336.9798847424.

The spelling of 38265900 in words is "thirty-eight million, two hundred sixty-five thousand, nine hundred".