3873980507049 has 27 divisors (see below), whose sum is σ = 5944427847813. Its totient is φ = 2430669883392.

The previous prime is 3873980507039. The next prime is 3873980507053. The reversal of 3873980507049 is 9407050893783.

The square root of 3873980507049 is 1968243.

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

3873980507049 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 9 + 80 + 507 + 0 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 864727028649 + 3009253478400 = 929907^2 + 1734720^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3873980507049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3873980507029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100361097 + ... + 100399689.

Almost surely, 2^{3873980507049} is an apocalyptic number.

3873980507049 is the 1968243-rd square number.

3873980507049 is the 984122-nd centered octagonal number.

It is an amenable number.

3873980507049 is a deficient number, since it is larger than the sum of its proper divisors (2070447340764).

3873980507049 is an frugal number, since it uses more digits than its factorization.

3873980507049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77226 (or 38613 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 3873980507049 in words is "three trillion, eight hundred seventy-three billion, nine hundred eighty million, five hundred seven thousand, forty-nine".