3905042349924 has 243 divisors, whose sum is σ = 10516592097921. Its totient is φ = 1221715192320.

The previous prime is 3905042349919. The next prime is 3905042349947. The reversal of 3905042349924 is 4299432405093.

The square root of 3905042349924 is 1976118.

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

3905042349924 is a `hidden beast` number, since 3 + 9 + 0 + 504 + 2 + 3 + 49 + 92 + 4 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3856628268900 + 48414081024 = 1963830^2 + 220032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14097625674 + ... + 14097625950.

Almost surely, 2^{3905042349924} is an apocalyptic number.

3905042349924 is the 1976118-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3905042349924

3905042349924 is an abundant number, since it is smaller than the sum of its proper divisors (6611549747997).

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

3905042349924 is a wasteful number, since it uses less digits than its factorization.

3905042349924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3905042349924 in words is "three trillion, nine hundred five billion, forty-two million, three hundred forty-nine thousand, nine hundred twenty-four".