38341728 has 96 divisors (see below), whose sum is σ = 112896000. Its totient is φ = 12659328.

The previous prime is 38341727. The next prime is 38341729. The reversal of 38341728 is 82714383.

It is an interprime number because it is at equal distance from previous prime (38341727) and next prime (38341729).

It is a tau number, because it is divible by the number of its divisors (96).

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 = 38341692 and 38341701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38341727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171825 + ... + 172047.

It is an arithmetic number, because the mean of its divisors is an integer number (1176000).

Almost surely, 2^38341728 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 38341728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56448000).

38341728 is an abundant number, since it is smaller than the sum of its proper divisors (74554272).

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

38341728 is a wasteful number, since it uses less digits than its factorization.

38341728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 427 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 38341728 is about 6192.0697670488. The cubic root of 38341728 is about 337.2023251825.

The spelling of 38341728 in words is "thirty-eight million, three hundred forty-one thousand, seven hundred twenty-eight".