3969882049 has 9 divisors (see below), whose sum is σ = 4618539171. Its totient is φ = 3402378000.

The previous prime is 3969882047. The next prime is 3969882071. The reversal of 3969882049 is 9402889693.

The square root of 3969882049 is 63007.

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

It can be written as a sum of positive squares in only one way, i.e., 707187649 + 3262694400 = 26593^2 + 57120^2 .

It is not a de Polignac number, because 3969882049 - 2¹ = 3969882047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3969881984 and 3969882002.

It is not an unprimeable number, because it can be changed into a prime (3969882047) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 436549 + ... + 445549.

It is an arithmetic number, because the mean of its divisors is an integer number (513171019).

Almost surely, 2^3969882049 is an apocalyptic number.

3969882049 is the 63007-th square number.

3969882049 is the 31504-th centered octagonal number.

It is an amenable number.

3969882049 is a deficient number, since it is larger than the sum of its proper divisors (648657122).

3969882049 is an frugal number, since it uses more digits than its factorization.

3969882049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18016 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 58.

The cubic root of 3969882049 is about 1583.4069049125.

The spelling of 3969882049 in words is "three billion, nine hundred sixty-nine million, eight hundred eighty-two thousand, forty-nine".