3280812522624 has 1280 divisors, whose sum is σ = 12708626515200. Its totient is φ = 815890268160.

The previous prime is 3280812522607. The next prime is 3280812522661. The reversal of 3280812522624 is 4262252180823.

3280812522624 is a `hidden beast` number, since 3 + 2 + 8 + 0 + 8 + 12 + 5 + 2 + 2 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3280812522624.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7116729754 + ... + 7116730214.

It is an arithmetic number, because the mean of its divisors is an integer number (9928614465).

Almost surely, 2^{3280812522624} 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 3280812522624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6354313257600).

3280812522624 is an abundant number, since it is smaller than the sum of its proper divisors (9427813992576).

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

3280812522624 is a wasteful number, since it uses less digits than its factorization.

3280812522624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 3280812522624 in words is "three trillion, two hundred eighty billion, eight hundred twelve million, five hundred twenty-two thousand, six hundred twenty-four".