3282480035280 has 600 divisors, whose sum is σ = 12052479107592. Its totient is φ = 827858092032.

The previous prime is 3282480035243. The next prime is 3282480035287. The reversal of 3282480035280 is 825300842823.

It is a happy number.

3282480035280 is a `hidden beast` number, since 3 + 2 + 82 + 48 + 0 + 0 + 3 + 528 + 0 = 666.

3282480035280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 481047667776 + 2801432367504 = 693576^2 + 1673748^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282480035287) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2697189232 + ... + 2697190448.

Almost surely, 2^{3282480035280} is an apocalyptic number.

3282480035280 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 3282480035280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026239553796).

3282480035280 is an abundant number, since it is smaller than the sum of its proper divisors (8769999072312).

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

3282480035280 is a wasteful number, since it uses less digits than its factorization.

3282480035280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2399 counting only the distinct ones).

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

The spelling of 3282480035280 in words is "three trillion, two hundred eighty-two billion, four hundred eighty million, thirty-five thousand, two hundred eighty".