3907924061409 has 27 divisors (see below), whose sum is σ = 5753756782137. Its totient is φ = 2555920838016.

The previous prime is 3907924061389. The next prime is 3907924061449. The reversal of 3907924061409 is 9041604297093.

The square root of 3907924061409 is 1976847.

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

3907924061409 is a `hidden beast` number, since 3 + 9 + 0 + 7 + 92 + 406 + 140 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134617811409 + 3773306250000 = 366903^2 + 1942500^2 .

It is not a de Polignac number, because 3907924061409 - 2⁷ = 3907924061281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3907924061449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 314312457 + ... + 314324889.

Almost surely, 2^{3907924061409} is an apocalyptic number.

3907924061409 is the 1976847-th square number.

3907924061409 is the 988424-th centered octagonal number.

It is an amenable number.

3907924061409 is a deficient number, since it is larger than the sum of its proper divisors (1845832720728).

3907924061409 is an frugal number, since it uses more digits than its factorization.

3907924061409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24978 (or 12489 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 3907924061409 in words is "three trillion, nine hundred seven billion, nine hundred twenty-four million, sixty-one thousand, four hundred nine".