38829408 has 48 divisors (see below), whose sum is σ = 102248496. Its totient is φ = 12902400.

The previous prime is 38829383. The next prime is 38829421. The reversal of 38829408 is 80492883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38829408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57360 + ... + 58032.

It is an arithmetic number, because the mean of its divisors is an integer number (2130177).

Almost surely, 2^38829408 is an apocalyptic number.

It is an amenable number.

38829408 is an abundant number, since it is smaller than the sum of its proper divisors (63419088).

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

38829408 is a wasteful number, since it uses less digits than its factorization.

38829408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 38829408 is about 6231.3247387694. The cubic root of 38829408 is about 338.6259655829.

The spelling of 38829408 in words is "thirty-eight million, eight hundred twenty-nine thousand, four hundred eight".