38257264 has 40 divisors (see below), whose sum is σ = 78588720. Its totient is φ = 18009600.

The previous prime is 38257253. The next prime is 38257267. The reversal of 38257264 is 46275283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38257267) by changing a digit.

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, 18019 + ... + 20029.

It is an arithmetic number, because the mean of its divisors is an integer number (1964718).

Almost surely, 2^38257264 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 38257264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39294360).

38257264 is an abundant number, since it is smaller than the sum of its proper divisors (40331456).

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

38257264 is a wasteful number, since it uses less digits than its factorization.

38257264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2083 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 38257264 is about 6185.2456701412. The cubic root of 38257264 is about 336.9545325164.

The spelling of 38257264 in words is "thirty-eight million, two hundred fifty-seven thousand, two hundred sixty-four".