38353201 has 8 divisors (see below), whose sum is σ = 40037864. Its totient is φ = 36702720.

The previous prime is 38353199. The next prime is 38353219. The reversal of 38353201 is 10235383.

It can be written as a sum of positive squares in 4 ways, for example, as 518400 + 37834801 = 720^2 + 6151^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38353201 - 2¹ = 38353199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38353501) 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 7 ways as a sum of consecutive naturals, for example, 6240 + ... + 10753.

It is an arithmetic number, because the mean of its divisors is an integer number (5004733).

Almost surely, 2^38353201 is an apocalyptic number.

It is an amenable number.

38353201 is a deficient number, since it is larger than the sum of its proper divisors (1684663).

38353201 is a wasteful number, since it uses less digits than its factorization.

38353201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17091.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 38353201 is about 6192.9961246557. The cubic root of 38353201 is about 337.2359555261.

Adding to 38353201 its reverse (10235383), we get a palindrome (48588584).

The spelling of 38353201 in words is "thirty-eight million, three hundred fifty-three thousand, two hundred one".