38926272 has 112 divisors (see below), whose sum is σ = 128454912. Its totient is φ = 10106880.

The previous prime is 38926271. The next prime is 38926289. The reversal of 38926272 is 27262983.

38926272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 38926272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38926271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13468 + ... + 16100.

Almost surely, 2^38926272 is an apocalyptic number.

38926272 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 38926272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64227456).

38926272 is an abundant number, since it is smaller than the sum of its proper divisors (89528640).

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

38926272 is a wasteful number, since it uses less digits than its factorization.

38926272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2656 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 38926272 is about 6239.0922416646. The cubic root of 38926272 is about 338.9073110035.

The spelling of 38926272 in words is "thirty-eight million, nine hundred twenty-six thousand, two hundred seventy-two".