38103430401 has 75 divisors (see below), whose sum is σ = 60993994963. Its totient is φ = 23705209440.

The previous prime is 38103430367. The next prime is 38103430441. The reversal of 38103430401 is 10403430183.

The square root of 38103430401 is 195201.

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

It can be written as a sum of positive squares in only one way, i.e., 1836036801 + 36267393600 = 42849^2 + 190440^2 .

It is a de Polignac number, because none of the positive numbers 2^k-38103430401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38103430441) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 929351941 + ... + 929351981.

Almost surely, 2^38103430401 is an apocalyptic number.

38103430401 is the 195201-st square number.

38103430401 is the 97601-st centered octagonal number.

It is an amenable number.

38103430401 is a deficient number, since it is larger than the sum of its proper divisors (22890564562).

38103430401 is an frugal number, since it uses more digits than its factorization.

38103430401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 38103430401 its reverse (10403430183), we get a palindrome (48506860584).

The spelling of 38103430401 in words is "thirty-eight billion, one hundred three million, four hundred thirty thousand, four hundred one".