38627232 has 96 divisors (see below), whose sum is σ = 118444032. Its totient is φ = 10792704.

The previous prime is 38627227. The next prime is 38627257. The reversal of 38627232 is 23272683.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38627193 and 38627202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30973 + ... + 32195.

It is an arithmetic number, because the mean of its divisors is an integer number (1233792).

Almost surely, 2^38627232 is an apocalyptic number.

38627232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38627232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59222016).

38627232 is an abundant number, since it is smaller than the sum of its proper divisors (79816800).

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

38627232 is a wasteful number, since it uses less digits than its factorization.

38627232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1282 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 38627232 is about 6215.0810131486. The cubic root of 38627232 is about 338.0372261556.

The spelling of 38627232 in words is "thirty-eight million, six hundred twenty-seven thousand, two hundred thirty-two".