38673288 has 80 divisors (see below), whose sum is σ = 111317580. Its totient is φ = 12534912.

The previous prime is 38673287. The next prime is 38673293. The reversal of 38673288 is 88237683.

It can be written as a sum of positive squares in 2 ways, for example, as 35497764 + 3175524 = 5958^2 + 1782^2 .

It is not an unprimeable number, because it can be changed into a prime (38673287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23170 + ... + 24782.

Almost surely, 2^38673288 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 38673288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55658790).

38673288 is an abundant number, since it is smaller than the sum of its proper divisors (72644292).

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

38673288 is a wasteful number, since it uses less digits than its factorization.

38673288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1655 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 38673288 is about 6218.7850903533. The cubic root of 38673288 is about 338.1715222483.

The spelling of 38673288 in words is "thirty-eight million, six hundred seventy-three thousand, two hundred eighty-eight".