38821248 has 128 divisors (see below), whose sum is σ = 117504000. Its totient is φ = 12612096.

The previous prime is 38821247. The next prime is 38821249. The reversal of 38821248 is 84212883.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38821247) and next prime (38821249).

It is a tau number, because it is divible by the number of its divisors (128).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38821247) 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, 162313 + ... + 162551.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 2^38821248 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 38821248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752000).

38821248 is an abundant number, since it is smaller than the sum of its proper divisors (78682752).

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

38821248 is a wasteful number, since it uses less digits than its factorization.

38821248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 38821248 is about 6230.6699479269. The cubic root of 38821248 is about 338.6022431724.

The spelling of 38821248 in words is "thirty-eight million, eight hundred twenty-one thousand, two hundred forty-eight".