3244776864 has 288 divisors, whose sum is σ = 10331508096. Its totient is φ = 888330240.

The previous prime is 3244776823. The next prime is 3244776869. The reversal of 3244776864 is 4686774423.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3244776869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17926854 + ... + 17927034.

It is an arithmetic number, because the mean of its divisors is an integer number (35873292).

Almost surely, 2^3244776864 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 3244776864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165754048).

3244776864 is an abundant number, since it is smaller than the sum of its proper divisors (7086731232).

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

3244776864 is a wasteful number, since it uses less digits than its factorization.

3244776864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 333 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 51.

The square root of 3244776864 is about 56962.9429015040. The cubic root of 3244776864 is about 1480.4540948942.

The spelling of 3244776864 in words is "three billion, two hundred forty-four million, seven hundred seventy-six thousand, eight hundred sixty-four".