3968498267881 has 9 divisors (see below), whose sum is σ = 4616432573949. Its totient is φ = 3401557991244.

The previous prime is 3968498267879. The next prime is 3968498267897. The reversal of 3968498267881 is 1887628948693.

The square root of 3968498267881 is 1992109.

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

It is not a de Polignac number, because 3968498267881 - 2¹ = 3968498267879 is a prime.

It is a super-2 number, since 2×3968498267881² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3968498267081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13802470 + ... + 14087056.

It is an arithmetic number, because the mean of its divisors is an integer number (512936952661).

Almost surely, 2^{3968498267881} is an apocalyptic number.

3968498267881 is the 1992109-th square number.

3968498267881 is the 996055-th centered octagonal number.

It is an amenable number.

3968498267881 is a deficient number, since it is larger than the sum of its proper divisors (647934306068).

3968498267881 is an frugal number, since it uses more digits than its factorization.

3968498267881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569188 (or 284594 counting only the distinct ones).

The product of its digits is 2006581248, while the sum is 79.

The spelling of 3968498267881 in words is "three trillion, nine hundred sixty-eight billion, four hundred ninety-eight million, two hundred sixty-seven thousand, eight hundred eighty-one".