38449824 has 96 divisors (see below), whose sum is σ = 119387520. Its totient is φ = 10601472.

The previous prime is 38449799. The next prime is 38449867. The reversal of 38449824 is 42894483.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18502 + ... + 20474.

It is an arithmetic number, because the mean of its divisors is an integer number (1243620).

Almost surely, 2^38449824 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 38449824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59693760).

38449824 is an abundant number, since it is smaller than the sum of its proper divisors (80937696).

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

38449824 is a wasteful number, since it uses less digits than its factorization.

38449824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2014 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 38449824 is about 6200.7922074522. The cubic root of 38449824 is about 337.5189169095.

The spelling of 38449824 in words is "thirty-eight million, four hundred forty-nine thousand, eight hundred twenty-four".