38048384 has 64 divisors (see below), whose sum is σ = 84235680. Its totient is φ = 16972800.

The previous prime is 38048341. The next prime is 38048389. The reversal of 38048384 is 48384083.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×38048384² = 2895359050022912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38048389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85667 + ... + 86109.

Almost surely, 2^38048384 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 38048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42117840).

38048384 is an abundant number, since it is smaller than the sum of its proper divisors (46187296).

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

38048384 is a wasteful number, since it uses less digits than its factorization.

38048384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 517 counting only the distinct ones).

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

The square root of 38048384 is about 6168.3372151659. The cubic root of 38048384 is about 336.3401694765.

The spelling of 38048384 in words is "thirty-eight million, forty-eight thousand, three hundred eighty-four".