38725344 has 192 divisors, whose sum is σ = 136281600. Its totient is φ = 10450944.

The previous prime is 38725331. The next prime is 38725367. The reversal of 38725344 is 44352783.

It is a happy number.

38725344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38725299 and 38725308.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 114744 + ... + 115080.

It is an arithmetic number, because the mean of its divisors is an integer number (709800).

Almost surely, 2^38725344 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 38725344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68140800).

38725344 is an abundant number, since it is smaller than the sum of its proper divisors (97556256).

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

38725344 is a wasteful number, since it uses less digits than its factorization.

38725344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 38725344 is about 6222.9690662898. The cubic root of 38725344 is about 338.3231856232.

It can be divided in two parts, 3872 and 5344, that added together give a square (9216 = 96²).

The spelling of 38725344 in words is "thirty-eight million, seven hundred twenty-five thousand, three hundred forty-four".