3280967424 has 576 divisors, whose sum is σ = 12087398400. Its totient is φ = 856977408.

The previous prime is 3280967423. The next prime is 3280967453. The reversal of 3280967424 is 4247690823.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 3280967424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3280967423) 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, 39529687 + ... + 39529769.

Almost surely, 2^3280967424 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 3280967424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043699200).

3280967424 is an abundant number, since it is smaller than the sum of its proper divisors (8806430976).

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

3280967424 is a wasteful number, since it uses less digits than its factorization.

3280967424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3280967424 is about 57279.7296083004. The cubic root of 3280967424 is about 1485.9378302122.

The spelling of 3280967424 in words is "three billion, two hundred eighty million, nine hundred sixty-seven thousand, four hundred twenty-four".