3401288125 has 40 divisors (see below), whose sum is σ = 4337736480. Its totient is φ = 2665656000.

The previous prime is 3401288123. The next prime is 3401288129. The reversal of 3401288125 is 5218821043.

It is a happy number.

It is not a de Polignac number, because 3401288125 - 2¹ = 3401288123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401288123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8974186 + ... + 8974564.

It is an arithmetic number, because the mean of its divisors is an integer number (108443412).

Almost surely, 2^3401288125 is an apocalyptic number.

It is an amenable number.

3401288125 is a deficient number, since it is larger than the sum of its proper divisors (936448355).

3401288125 is an equidigital number, since it uses as much as digits as its factorization.

3401288125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 3401288125 is about 58320.5634832175. The cubic root of 3401288125 is about 1503.8844689542.

The spelling of 3401288125 in words is "three billion, four hundred one million, two hundred eighty-eight thousand, one hundred twenty-five".