3243761664 has 336 divisors, whose sum is σ = 10361395584. Its totient is φ = 894566400.

The previous prime is 3243761659. The next prime is 3243761669. The reversal of 3243761664 is 4661673423.

It is an interprime number because it is at equal distance from previous prime (3243761659) and next prime (3243761669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243761669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45686749 + ... + 45686819.

Almost surely, 2^3243761664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3243761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180697792).

3243761664 is an abundant number, since it is smaller than the sum of its proper divisors (7117633920).

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

3243761664 is a wasteful number, since it uses less digits than its factorization.

3243761664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The square root of 3243761664 is about 56954.0311479354. The cubic root of 3243761664 is about 1480.2996812183.

The spelling of 3243761664 in words is "three billion, two hundred forty-three million, seven hundred sixty-one thousand, six hundred sixty-four".