3830259981025 has 27 divisors (see below), whose sum is σ = 4765068231051. Its totient is φ = 3054211092480.

The previous prime is 3830259981017. The next prime is 3830259981029. The reversal of 3830259981025 is 5201899520383.

It is a happy number.

The square root of 3830259981025 is 1957105.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1583930482849 + 2246329498176 = 1258543^2 + 1498776^2 .

It is not a de Polignac number, because 3830259981025 - 2³ = 3830259981017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3830259981029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4980831841 + ... + 4980832609.

Almost surely, 2^{3830259981025} is an apocalyptic number.

3830259981025 is the 1957105-th square number.

3830259981025 is the 978553-rd centered octagonal number.

It is an amenable number.

3830259981025 is a deficient number, since it is larger than the sum of its proper divisors (934808250026).

3830259981025 is an frugal number, since it uses more digits than its factorization.

3830259981025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 3830259981025 in words is "three trillion, eight hundred thirty billion, two hundred fifty-nine million, nine hundred eighty-one thousand, twenty-five".