3975006249 has 48 divisors (see below), whose sum is σ = 6306627600. Its totient is φ = 2401394688.

The previous prime is 3975006193. The next prime is 3975006251. The reversal of 3975006249 is 9426005793.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 245705625 + 3729300624 = 15675^2 + 61068^2 .

It is not a de Polignac number, because 3975006249 - 2¹³ = 3974998057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3975006149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1920187 + ... + 1922255.

It is an arithmetic number, because the mean of its divisors is an integer number (131388075).

Almost surely, 2^3975006249 is an apocalyptic number.

It is an amenable number.

3975006249 is a deficient number, since it is larger than the sum of its proper divisors (2331621351).

3975006249 is a wasteful number, since it uses less digits than its factorization.

3975006249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3975006249 is about 63047.6506223666. The cubic root of 3975006249 is about 1584.0878827599.

The spelling of 3975006249 in words is "three billion, nine hundred seventy-five million, six thousand, two hundred forty-nine".