38413648 has 60 divisors (see below), whose sum is σ = 93262260. Its totient is φ = 15192576.

The previous prime is 38413643. The next prime is 38413673. The reversal of 38413648 is 84631483.

It can be written as a sum of positive squares in 2 ways, for example, as 18593344 + 19820304 = 4312^2 + 4452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38413643) 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, 8308 + ... + 12076.

It is an arithmetic number, because the mean of its divisors is an integer number (1554371).

Almost surely, 2^38413648 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 38413648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46631130).

38413648 is an abundant number, since it is smaller than the sum of its proper divisors (54848612).

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

38413648 is a wasteful number, since it uses less digits than its factorization.

38413648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3791 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 38413648 is about 6197.8744743662. The cubic root of 38413648 is about 337.4130307232.

The spelling of 38413648 in words is "thirty-eight million, four hundred thirteen thousand, six hundred forty-eight".