3834514125 has 96 divisors (see below), whose sum is σ = 7701613920. Its totient is φ = 1822464000.

The previous prime is 3834514097. The next prime is 3834514133. The reversal of 3834514125 is 5214154383.

3834514125 is a `hidden beast` number, since 3 + 83 + 451 + 4 + 125 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2090867076 + 1743647049 = 45726^2 + 41757^2 .

It is not a de Polignac number, because 3834514125 - 2²⁹ = 3297643213 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3834514125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419605 + ... + 428645.

It is an arithmetic number, because the mean of its divisors is an integer number (80225145).

Almost surely, 2^3834514125 is an apocalyptic number.

It is an amenable number.

3834514125 is an abundant number, since it is smaller than the sum of its proper divisors (3867099795).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3834514125 is a wasteful number, since it uses less digits than its factorization.

3834514125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9104 (or 9091 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 3834514125 is about 61923.4537554229. The cubic root of 3834514125 is about 1565.2009901537.

The spelling of 3834514125 in words is "three billion, eight hundred thirty-four million, five hundred fourteen thousand, one hundred twenty-five".