3261424320 has 756 divisors, whose sum is σ = 14418698112. Its totient is φ = 674150400.

The previous prime is 3261424297. The next prime is 3261424373. The reversal of 3261424320 is 234241623.

3261424320 is a `hidden beast` number, since 3 + 2 + 614 + 2 + 43 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17075425 + ... + 17075615.

It is an arithmetic number, because the mean of its divisors is an integer number (19072352).

Almost surely, 2^3261424320 is an apocalyptic number.

3261424320 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 3261424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209349056).

3261424320 is an abundant number, since it is smaller than the sum of its proper divisors (11157273792).

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

3261424320 is a wasteful number, since it uses less digits than its factorization.

3261424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3261424320 is about 57108.8812707796. The cubic root of 3261424320 is about 1482.9816200443.

Adding to 3261424320 its reverse (234241623), we get a palindrome (3495665943).

The spelling of 3261424320 in words is "three billion, two hundred sixty-one million, four hundred twenty-four thousand, three hundred twenty".