3282405120 has 432 divisors, whose sum is σ = 12039666912. Its totient is φ = 855982080.

The previous prime is 3282405109. The next prime is 3282405151. The reversal of 3282405120 is 215042823.

3282405120 is a `hidden beast` number, since 32 + 82 + 40 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18973354 + ... + 18973526.

Almost surely, 2^3282405120 is an apocalyptic number.

3282405120 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 3282405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6019833456).

3282405120 is an abundant number, since it is smaller than the sum of its proper divisors (8757261792).

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

3282405120 is an equidigital number, since it uses as much as digits as its factorization.

3282405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3282405120 is about 57292.2780137079. The cubic root of 3282405120 is about 1486.1548408916.

Adding to 3282405120 its reverse (215042823), we get a palindrome (3497447943).

The spelling of 3282405120 in words is "three billion, two hundred eighty-two million, four hundred five thousand, one hundred twenty".