38638314 has 96 divisors (see below), whose sum is σ = 104255424. Its totient is φ = 10160640.

The previous prime is 38638309. The next prime is 38638337. The reversal of 38638314 is 41383683.

It is a happy number.

38638314 is a `hidden beast` number, since 3 + 8 + 638 + 3 + 14 = 666.

38638314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 43317 + ... + 44199.

It is an arithmetic number, because the mean of its divisors is an integer number (1085994).

Almost surely, 2^38638314 is an apocalyptic number.

38638314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38638314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52127712).

38638314 is an abundant number, since it is smaller than the sum of its proper divisors (65617110).

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

38638314 is a wasteful number, since it uses less digits than its factorization.

38638314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 929 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 38638314 is about 6215.9724902866. The cubic root of 38638314 is about 338.0695502454.

The spelling of 38638314 in words is "thirty-eight million, six hundred thirty-eight thousand, three hundred fourteen".