38371408 has 40 divisors (see below), whose sum is σ = 78823080. Its totient is φ = 18063360.

The previous prime is 38371391. The next prime is 38371409. The reversal of 38371408 is 80417383.

It can be written as a sum of positive squares in 4 ways, for example, as 3655744 + 34715664 = 1912^2 + 5892^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38371409) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18016 + ... + 20032.

It is an arithmetic number, because the mean of its divisors is an integer number (1970577).

Almost surely, 2^38371408 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 38371408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39411540).

38371408 is an abundant number, since it is smaller than the sum of its proper divisors (40451672).

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

38371408 is a wasteful number, since it uses less digits than its factorization.

38371408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 38371408 is about 6194.4659172523. The cubic root of 38371408 is about 337.2893112090.

The spelling of 38371408 in words is "thirty-eight million, three hundred seventy-one thousand, four hundred eight".