38800441 has 3 divisors (see below), whose sum is σ = 38806671. Its totient is φ = 38794212.

The previous prime is 38800393. The next prime is 38800459. The reversal of 38800441 is 14400883.

The square root of 38800441 is 6229.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 19616041 + 19184400 = 4429^2 + 4380^2 .

It is not a de Polignac number, because 38800441 - 2²³ = 30411833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38800481) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3115 + ... + 9343.

It is an arithmetic number, because the mean of its divisors is an integer number (12935557).

Almost surely, 2^38800441 is an apocalyptic number.

38800441 is the 6229-th square number.

38800441 is the 3115-th centered octagonal number.

It is an amenable number.

38800441 is a deficient number, since it is larger than the sum of its proper divisors (6230).

38800441 is an frugal number, since it uses more digits than its factorization.

38800441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12458 (or 6229 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The cubic root of 38800441 is about 338.5417388842.

The spelling of 38800441 in words is "thirty-eight million, eight hundred thousand, four hundred forty-one".