38272640 has 64 divisors (see below), whose sum is σ = 104578560. Its totient is φ = 13120512.

The previous prime is 38272609. The next prime is 38272687. The reversal of 38272640 is 4627283.

38272640 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 38272597 and 38272606.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 209 + ... + 8751.

It is an arithmetic number, because the mean of its divisors is an integer number (1634040).

Almost surely, 2^38272640 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 38272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52289280).

38272640 is an abundant number, since it is smaller than the sum of its proper divisors (66305920).

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

38272640 is an equidigital number, since it uses as much as digits as its factorization.

38272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8569 (or 8557 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 38272640 is about 6186.4885031818. The cubic root of 38272640 is about 336.9996683364. Note that the first 3 decimals are identical.

The spelling of 38272640 in words is "thirty-eight million, two hundred seventy-two thousand, six hundred forty".