3264840000 has 280 divisors, whose sum is σ = 11997659520. Its totient is φ = 870336000.

The previous prime is 3264839999. The next prime is 3264840001. The reversal of 3264840000 is 484623.

It is an interprime number because it is at equal distance from previous prime (3264839999) and next prime (3264840001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3264840001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1078489 + ... + 1081511.

It is an arithmetic number, because the mean of its divisors is an integer number (42848784).

Almost surely, 2^3264840000 is an apocalyptic number.

3264840000 is a gapful number since it is divisible by the number (30) 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 3264840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998829760).

3264840000 is an abundant number, since it is smaller than the sum of its proper divisors (8732819520).

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

3264840000 is an equidigital number, since it uses as much as digits as its factorization.

3264840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3264840000 is about 57138.7784258642. The cubic root of 3264840000 is about 1483.4991468331.

The spelling of 3264840000 in words is "three billion, two hundred sixty-four million, eight hundred forty thousand".