38097408 has 80 divisors (see below), whose sum is σ = 107537760. Its totient is φ = 11943936.

The previous prime is 38097403. The next prime is 38097427. The reversal of 38097408 is 80479083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38097403) 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, 25383 + ... + 26841.

It is an arithmetic number, because the mean of its divisors is an integer number (1344222).

Almost surely, 2^38097408 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 38097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53768880).

38097408 is an abundant number, since it is smaller than the sum of its proper divisors (69440352).

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

38097408 is a wasteful number, since it uses less digits than its factorization.

38097408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 38097408 is about 6172.3097783569. The cubic root of 38097408 is about 336.4845616256.

The spelling of 38097408 in words is "thirty-eight million, ninety-seven thousand, four hundred eight".