38905248 has 96 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 11796480.

The previous prime is 38905247. The next prime is 38905253. The reversal of 38905248 is 84250983.

It is a happy number.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (38905247) 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, 50208 + ... + 50976.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240).

Almost surely, 2^38905248 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 38905248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

38905248 is an abundant number, since it is smaller than the sum of its proper divisors (72861792).

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

38905248 is a wasteful number, since it uses less digits than its factorization.

38905248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 38905248 is about 6237.4071536176. The cubic root of 38905248 is about 338.8462856335.

The spelling of 38905248 in words is "thirty-eight million, nine hundred five thousand, two hundred forty-eight".