38282272 has 96 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 15344640.

The previous prime is 38282263. The next prime is 38282287. The reversal of 38282272 is 27228283.

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, 256854 + ... + 257002.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 2^38282272 is an apocalyptic number.

38282272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38282272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

38282272 is an abundant number, since it is smaller than the sum of its proper divisors (53647328).

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

38282272 is a wasteful number, since it uses less digits than its factorization.

38282272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 38282272 is about 6187.2669249031. The cubic root of 38282272 is about 337.0279366463.

The spelling of 38282272 in words is "thirty-eight million, two hundred eighty-two thousand, two hundred seventy-two".