38414208 has 128 divisors (see below), whose sum is σ = 120637440. Its totient is φ = 10598400.

The previous prime is 38414161. The next prime is 38414213. The reversal of 38414208 is 80241483.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83098 + ... + 83558.

It is an arithmetic number, because the mean of its divisors is an integer number (942480).

Almost surely, 2^38414208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60318720).

38414208 is an abundant number, since it is smaller than the sum of its proper divisors (82223232).

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

38414208 is a wasteful number, since it uses less digits than its factorization.

38414208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 38414208 is about 6197.9196509797. The cubic root of 38414208 is about 337.4146703348.

The spelling of 38414208 in words is "thirty-eight million, four hundred fourteen thousand, two hundred eight".