3243844464 has 320 divisors, whose sum is σ = 10711695360. Its totient is φ = 824878080.

The previous prime is 3243844453. The next prime is 3243844481. The reversal of 3243844464 is 4644483423.

It is a super-3 number, since 3×3243844464³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7322227 + ... + 7322669.

It is an arithmetic number, because the mean of its divisors is an integer number (33474048).

Almost surely, 2^3243844464 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 3243844464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355847680).

3243844464 is an abundant number, since it is smaller than the sum of its proper divisors (7467850896).

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

3243844464 is a wasteful number, since it uses less digits than its factorization.

3243844464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 542 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

The square root of 3243844464 is about 56954.7580453117. The cubic root of 3243844464 is about 1480.3122764481.

The spelling of 3243844464 in words is "three billion, two hundred forty-three million, eight hundred forty-four thousand, four hundred sixty-four".