3280567530240 has 6912 divisors, whose sum is σ = 18038793830400. Its totient is φ = 551809843200.

The previous prime is 3280567530239. The next prime is 3280567530269. The reversal of 3280567530240 is 420357650823.

3280567530240 is a `hidden beast` number, since 3 + 2 + 80 + 567 + 5 + 3 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 105824759025 + ... + 105824759055.

It is an arithmetic number, because the mean of its divisors is an integer number (2609779200).

Almost surely, 2^{3280567530240} is an apocalyptic number.

3280567530240 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 3280567530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9019396915200).

3280567530240 is an abundant number, since it is smaller than the sum of its proper divisors (14758226300160).

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

3280567530240 is a wasteful number, since it uses less digits than its factorization.

3280567530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3280567530240 in words is "three trillion, two hundred eighty billion, five hundred sixty-seven million, five hundred thirty thousand, two hundred forty".