38838816 has 36 divisors (see below), whose sum is σ = 110448702. Its totient is φ = 12946176.

The previous prime is 38838809. The next prime is 38838823. The reversal of 38838816 is 61883883.

It is an interprime number because it is at equal distance from previous prime (38838809) and next prime (38838823).

It can be written as a sum of positive squares in only one way, i.e., 38192400 + 646416 = 6180^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67141 + ... + 67716.

Almost surely, 2^38838816 is an apocalyptic number.

38838816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38838816 is an abundant number, since it is smaller than the sum of its proper divisors (71609886).

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

38838816 is a wasteful number, since it uses less digits than its factorization.

38838816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134873 (or 134862 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 38838816 is about 6232.0795887087. The cubic root of 38838816 is about 338.6533120022.

It can be divided in two parts, 388 and 38816, that added together give a square (39204 = 198²).

The spelling of 38838816 in words is "thirty-eight million, eight hundred thirty-eight thousand, eight hundred sixteen".