3968488892564 has 54 divisors (see below), whose sum is σ = 8581881873726. Its totient is φ = 1600734992640.

The previous prime is 3968488892527. The next prime is 3968488892663. The reversal of 3968488892564 is 4652988848693.

It can be written as a sum of positive squares in 3 ways, for example, as 2983150752400 + 985338140164 = 1727180^2 + 992642^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34973447 + ... + 35086734.

Almost surely, 2^{3968488892564} is an apocalyptic number.

3968488892564 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3968488892564 is an abundant number, since it is smaller than the sum of its proper divisors (4613392981162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3968488892564 is a wasteful number, since it uses less digits than its factorization.

3968488892564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70060233 (or 70060207 counting only the distinct ones).

The product of its digits is 5733089280, while the sum is 80.

The spelling of 3968488892564 in words is "three trillion, nine hundred sixty-eight billion, four hundred eighty-eight million, eight hundred ninety-two thousand, five hundred sixty-four".