3264847824 has 320 divisors, whose sum is σ = 10927872000. Its totient is φ = 817496064.

The previous prime is 3264847823. The next prime is 3264847853. The reversal of 3264847824 is 4287484623.

3264847824 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3264847823) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7271152 + ... + 7271600.

It is an arithmetic number, because the mean of its divisors is an integer number (34149600).

Almost surely, 2^3264847824 is an apocalyptic number.

3264847824 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3264847824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463936000).

3264847824 is an abundant number, since it is smaller than the sum of its proper divisors (7663024176).

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

3264847824 is a wasteful number, since it uses less digits than its factorization.

3264847824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The square root of 3264847824 is about 57138.8468907100. The cubic root of 3264847824 is about 1483.5003318721.

The spelling of 3264847824 in words is "three billion, two hundred sixty-four million, eight hundred forty-seven thousand, eight hundred twenty-four".