38083815 has 96 divisors (see below), whose sum is σ = 85363200. Its totient is φ = 15240960.

The previous prime is 38083807. The next prime is 38083819. The reversal of 38083815 is 51838083.

It is a happy number.

38083815 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38083815 - 2³ = 38083807 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38083815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38083819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100296 + ... + 100674.

It is an arithmetic number, because the mean of its divisors is an integer number (889200).

Almost surely, 2^38083815 is an apocalyptic number.

38083815 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38083815 is an abundant number, since it is smaller than the sum of its proper divisors (47279385).

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

38083815 is a wasteful number, since it uses less digits than its factorization.

38083815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 38083815 is about 6171.2085526257. The cubic root of 38083815 is about 336.4445380915. Note that the first 3 decimals are identical.

The spelling of 38083815 in words is "thirty-eight million, eighty-three thousand, eight hundred fifteen".