38805312 has 112 divisors (see below), whose sum is σ = 126422912. Its totient is φ = 10229760.

The previous prime is 38805293. The next prime is 38805313. The reversal of 38805312 is 21350883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 38805312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38805313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16362 + ... + 18582.

It is an arithmetic number, because the mean of its divisors is an integer number (1128776).

Almost surely, 2^38805312 is an apocalyptic number.

38805312 is a gapful number since it is divisible by the number (32) 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 38805312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63211456).

38805312 is an abundant number, since it is smaller than the sum of its proper divisors (87617600).

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

38805312 is a wasteful number, since it uses less digits than its factorization.

38805312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 38805312 is about 6229.3909814684. The cubic root of 38805312 is about 338.5559051133. Note that the first 3 decimals are identical.

The spelling of 38805312 in words is "thirty-eight million, eight hundred five thousand, three hundred twelve".