3957290649 has 27 divisors (see below), whose sum is σ = 6193448157. Its totient is φ = 2433746016.

The previous prime is 3957290639. The next prime is 3957290713. The reversal of 3957290649 is 9460927593.

The square root of 3957290649 is 62907.

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

3957290649 is a `hidden beast` number, since 3 + 9 + 572 + 9 + 0 + 64 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 270372249 + 3686918400 = 16443^2 + 60720^2 .

It is not a de Polignac number, because 3957290649 - 2⁹ = 3957290137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3957290595 and 3957290604.

It is not an unprimeable number, because it can be changed into a prime (3957290639) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2452567 + ... + 2454179.

Almost surely, 2^3957290649 is an apocalyptic number.

3957290649 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3957290649 is the 62907-th square number.

3957290649 is the 31454-th centered octagonal number.

It is an amenable number.

3957290649 is a deficient number, since it is larger than the sum of its proper divisors (2236157508).

3957290649 is an equidigital number, since it uses as much as digits as its factorization.

3957290649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The cubic root of 3957290649 is about 1581.7310847181.

The spelling of 3957290649 in words is "three billion, nine hundred fifty-seven million, two hundred ninety thousand, six hundred forty-nine".