38300447025 has 45 divisors (see below), whose sum is σ = 70961984401. Its totient is φ = 20422208160.

The previous prime is 38300447011. The next prime is 38300447069. The reversal of 38300447025 is 52074400383.

It is a happy number.

The square root of 38300447025 is 195705.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18830151729 + 19470295296 = 137223^2 + 139536^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2^k-38300447025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8804551 + ... + 8808899.

Almost surely, 2^38300447025 is an apocalyptic number.

38300447025 is the 195705-th square number.

38300447025 is the 97853-rd centered octagonal number.

It is an amenable number.

38300447025 is a deficient number, since it is larger than the sum of its proper divisors (32661537376).

38300447025 is an frugal number, since it uses more digits than its factorization.

38300447025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 38300447025 by its sum of digits (36), we get a square (1378816092900 = 1174230²).

The spelling of 38300447025 in words is "thirty-eight billion, three hundred million, four hundred forty-seven thousand, twenty-five".