38623248 has 60 divisors (see below), whose sum is σ = 109888428. Its totient is φ = 12660480.

The previous prime is 38623243. The next prime is 38623267. The reversal of 38623248 is 84232683.

38623248 is a `hidden beast` number, since 3 + 8 + 623 + 24 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8020224 + 30603024 = 2832^2 + 5532^2 .

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.

It is not an unprimeable number, because it can be changed into a prime (38623243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6586 + ... + 10982.

Almost surely, 2^38623248 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 38623248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54944214).

38623248 is an abundant number, since it is smaller than the sum of its proper divisors (71265180).

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

38623248 is a wasteful number, since it uses less digits than its factorization.

38623248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472 (or 4463 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 38623248 is about 6214.7604941784. The cubic root of 38623248 is about 338.0256040733.

It can be divided in two parts, 38 and 623248, that added together give a triangular number (623286 = T₁₁₁₆).

The spelling of 38623248 in words is "thirty-eight million, six hundred twenty-three thousand, two hundred forty-eight".