38684256 has 96 divisors (see below), whose sum is σ = 110638080. Its totient is φ = 11764224.

The previous prime is 38684213. The next prime is 38684257. The reversal of 38684256 is 65248683.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38684257) 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, 173361 + ... + 173583.

It is an arithmetic number, because the mean of its divisors is an integer number (1152480).

Almost surely, 2^38684256 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 38684256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55319040).

38684256 is an abundant number, since it is smaller than the sum of its proper divisors (71953824).

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

38684256 is a wasteful number, since it uses less digits than its factorization.

38684256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 38684256 is about 6219.6668721082. Note that the first 3 decimals coincide. The cubic root of 38684256 is about 338.2034884525.

The spelling of 38684256 in words is "thirty-eight million, six hundred eighty-four thousand, two hundred fifty-six".