3936101249521 has 45 divisors (see below), whose sum is σ = 4848515967033. Its totient is φ = 3194732719080.

The previous prime is 3936101249503. The next prime is 3936101249539. The reversal of 3936101249521 is 1259421016393.

The square root of 3936101249521 is 1983961.

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

It is an interprime number because it is at equal distance from previous prime (3936101249503) and next prime (3936101249539).

It is not a de Polignac number, because 3936101249521 - 2⁷ = 3936101249393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3936101249501) 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 44 ways as a sum of consecutive naturals, for example, 1847066626 + ... + 1847068756.

Almost surely, 2^{3936101249521} is an apocalyptic number.

3936101249521 is the 1983961-st square number.

3936101249521 is the 991981-st centered octagonal number.

It is an amenable number.

3936101249521 is a deficient number, since it is larger than the sum of its proper divisors (912414717512).

3936101249521 is an frugal number, since it uses more digits than its factorization.

3936101249521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 3936101249521 in words is "three trillion, nine hundred thirty-six billion, one hundred one million, two hundred forty-nine thousand, five hundred twenty-one".