38271744 has 216 divisors, whose sum is σ = 132819120. Its totient is φ = 10838016.

The previous prime is 38271731. The next prime is 38271773. The reversal of 38271744 is 44717283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38271699 and 38271708.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338632 + ... + 338744.

Almost surely, 2^38271744 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 38271744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66409560).

38271744 is an abundant number, since it is smaller than the sum of its proper divisors (94547376).

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

38271744 is a wasteful number, since it uses less digits than its factorization.

38271744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 38271744 is about 6186.4160868794. The cubic root of 38271744 is about 336.9970384851.

The spelling of 38271744 in words is "thirty-eight million, two hundred seventy-one thousand, seven hundred forty-four".