3288366480 has 240 divisors, whose sum is σ = 12483218880. Its totient is φ = 712018944.

The previous prime is 3288366469. The next prime is 3288366481. The reversal of 3288366480 is 846638823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3288366481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216082 + ... + 230798.

It is an arithmetic number, because the mean of its divisors is an integer number (52013412).

Almost surely, 2^3288366480 is an apocalyptic number.

3288366480 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 3288366480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241609440).

3288366480 is an abundant number, since it is smaller than the sum of its proper divisors (9194852400).

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

3288366480 is a wasteful number, since it uses less digits than its factorization.

3288366480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14766 (or 14753 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 3288366480 is about 57344.2802727526. The cubic root of 3288366480 is about 1487.0539931585.

The spelling of 3288366480 in words is "three billion, two hundred eighty-eight million, three hundred sixty-six thousand, four hundred eighty".