38430848 has 32 divisors (see below), whose sum is σ = 77268060. Its totient is φ = 19038208.

The previous prime is 38430811. The next prime is 38430851. The reversal of 38430848 is 84803483.

38430848 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 36096064 + 2334784 = 6008^2 + 1528^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13136 + ... + 15792.

Almost surely, 2^38430848 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 38430848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38634030).

38430848 is an abundant number, since it is smaller than the sum of its proper divisors (38837212).

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

38430848 is a wasteful number, since it uses less digits than its factorization.

38430848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 38430848 is about 6199.2618915481. The cubic root of 38430848 is about 337.4633829501.

The spelling of 38430848 in words is "thirty-eight million, four hundred thirty thousand, eight hundred forty-eight".