38605248 has 140 divisors (see below), whose sum is σ = 125025912. Its totient is φ = 11681280.

The previous prime is 38605241. The next prime is 38605277. The reversal of 38605248 is 84250683.

38605248 is a `hidden beast` number, since 3 + 8 + 605 + 2 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38605241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56686 + ... + 57362.

Almost surely, 2^38605248 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 38605248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62512956).

38605248 is an abundant number, since it is smaller than the sum of its proper divisors (86420664).

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

38605248 is a wasteful number, since it uses less digits than its factorization.

38605248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38605248 is about 6213.3121601928. The cubic root of 38605248 is about 337.9730847001.

The spelling of 38605248 in words is "thirty-eight million, six hundred five thousand, two hundred forty-eight".