3968330932489 has 81 divisors (see below), whose sum is σ = 5209059289959. Its totient is φ = 3012005304000.

The previous prime is 3968330932481. The next prime is 3968330932499. The reversal of 3968330932489 is 9842390338693.

The square root of 3968330932489 is 1992067.

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., 191216422089 + 3777114510400 = 437283^2 + 1943480^2 .

It is not a de Polignac number, because 3968330932489 - 2³ = 3968330932481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3968330932481) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6288955204 + ... + 6288955834.

Almost surely, 2^{3968330932489} is an apocalyptic number.

3968330932489 is the 1992067-th square number.

3968330932489 is the 996034-th centered octagonal number.

It is an amenable number.

3968330932489 is a deficient number, since it is larger than the sum of its proper divisors (1240728357470).

3968330932489 is an frugal number, since it uses more digits than its factorization.

3968330932489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 67.

The spelling of 3968330932489 in words is "three trillion, nine hundred sixty-eight billion, three hundred thirty million, nine hundred thirty-two thousand, four hundred eighty-nine".