3724872980049 has 243 divisors, whose sum is σ = 6434190093747. Its totient is φ = 2075128473600.

The previous prime is 3724872980047. The next prime is 3724872980063. The reversal of 3724872980049 is 9400892784273.

The square root of 3724872980049 is 1929993.

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

3724872980049 is a `hidden beast` number, since 3 + 72 + 487 + 2 + 9 + 80 + 0 + 4 + 9 = 666.

3724872980049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 3665911427649 + 58961552400 = 1914657^2 + 242820^2 .

It is not a de Polignac number, because 3724872980049 - 2¹ = 3724872980047 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3724872980047) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 52462999684 + ... + 52462999754.

Almost surely, 2^{3724872980049} is an apocalyptic number.

3724872980049 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3724872980049 is the 1929993-rd square number.

3724872980049 is the 964997-th centered octagonal number.

It is an amenable number.

3724872980049 is a deficient number, since it is larger than the sum of its proper divisors (2709317113698).

3724872980049 is a wasteful number, since it uses less digits than its factorization.

3724872980049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 3724872980049 in words is "three trillion, seven hundred twenty-four billion, eight hundred seventy-two million, nine hundred eighty thousand, forty-nine".