3775824149904 has 135 divisors (see below), whose sum is σ = 10668849922627. Its totient is φ = 1246599395328.

The previous prime is 3775824149887. The next prime is 3775824149917. The reversal of 3775824149904 is 4099414285773.

The square root of 3775824149904 is 1943148.

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

3775824149904 is a `hidden beast` number, since 3 + 7 + 7 + 582 + 4 + 1 + 49 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 314438319504 + 3461385830400 = 560748^2 + 1860480^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2634907972 + ... + 2634909404.

Almost surely, 2^{3775824149904} is an apocalyptic number.

3775824149904 is the 1943148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3775824149904

3775824149904 is an abundant number, since it is smaller than the sum of its proper divisors (6893025772723).

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

3775824149904 is an equidigital number, since it uses as much as digits as its factorization.

3775824149904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3775824149904 in words is "three trillion, seven hundred seventy-five billion, eight hundred twenty-four million, one hundred forty-nine thousand, nine hundred four".