38266496 has 32 divisors (see below), whose sum is σ = 76678500. Its totient is φ = 19021824.

The previous prime is 38266483. The next prime is 38266499. The reversal of 38266496 is 69466283.

It can be written as a sum of positive squares in 2 ways, for example, as 36481600 + 1784896 = 6040^2 + 1336^2 .

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

It is a super-2 number, since 2×38266496² = 2928649432236032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38266499) 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 3 ways as a sum of consecutive naturals, for example, 23930 + ... + 25478.

Almost surely, 2^38266496 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 38266496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38339250).

38266496 is an abundant number, since it is smaller than the sum of its proper divisors (38412004).

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

38266496 is a wasteful number, since it uses less digits than its factorization.

38266496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1744 counting only the distinct ones).

The product of its digits is 373248, while the sum is 44.

The square root of 38266496 is about 6185.9919172272. The cubic root of 38266496 is about 336.9816342458.

The spelling of 38266496 in words is "thirty-eight million, two hundred sixty-six thousand, four hundred ninety-six".