38824992 has 72 divisors (see below), whose sum is σ = 111479004. Its totient is φ = 12816384.

The previous prime is 38824967. The next prime is 38825021. The reversal of 38824992 is 29942883.

It can be written as a sum of positive squares in 2 ways, for example, as 34999056 + 3825936 = 5916^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31948 + ... + 33140.

Almost surely, 2^38824992 is an apocalyptic number.

38824992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38824992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55739502).

38824992 is an abundant number, since it is smaller than the sum of its proper divisors (72654012).

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

38824992 is a wasteful number, since it uses less digits than its factorization.

38824992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1311 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 38824992 is about 6230.9703899152. The cubic root of 38824992 is about 338.6131279852.

The spelling of 38824992 in words is "thirty-eight million, eight hundred twenty-four thousand, nine hundred ninety-two".