38819264 has 56 divisors (see below), whose sum is σ = 85392768. Its totient is φ = 17360640.

The previous prime is 38819233. The next prime is 38819269. The reversal of 38819264 is 46291883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38819269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46757 + ... + 47579.

Almost surely, 2^38819264 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 38819264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42696384).

38819264 is an abundant number, since it is smaller than the sum of its proper divisors (46573504).

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

38819264 is a wasteful number, since it uses less digits than its factorization.

38819264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 903 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 38819264 is about 6230.5107334792. The cubic root of 38819264 is about 338.5964748683.

The spelling of 38819264 in words is "thirty-eight million, eight hundred nineteen thousand, two hundred sixty-four".