3834144257 has 8 divisors (see below), whose sum is σ = 3868251432. Its totient is φ = 3800160000.

The previous prime is 3834144227. The next prime is 3834144269. The reversal of 3834144257 is 7524414383.

3834144257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 214798336 + 3619345921 = 14656^2 + 60161^2 .

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 3834144257 - 2¹⁰ = 3834143233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3834144227) 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, 32507 + ... + 93407.

It is an arithmetic number, because the mean of its divisors is an integer number (483531429).

Almost surely, 2^3834144257 is an apocalyptic number.

It is an amenable number.

3834144257 is a deficient number, since it is larger than the sum of its proper divisors (34107175).

3834144257 is a wasteful number, since it uses less digits than its factorization.

3834144257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61459.

The product of its digits is 322560, while the sum is 41.

The square root of 3834144257 is about 61920.4671897750. The cubic root of 3834144257 is about 1565.1506633626.

The spelling of 3834144257 in words is "three billion, eight hundred thirty-four million, one hundred forty-four thousand, two hundred fifty-seven".