3532764948480 has 288 divisors, whose sum is σ = 12697416295200. Its totient is φ = 942069989376.

The previous prime is 3532764948457. The next prime is 3532764948487. The reversal of 3532764948480 is 848494672353.

3532764948480 is a `hidden beast` number, since 3 + 5 + 3 + 2 + 7 + 64 + 94 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3532764948487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1778451 + ... + 3198189.

It is an arithmetic number, because the mean of its divisors is an integer number (44088251025).

Almost surely, 2^{3532764948480} is an apocalyptic number.

3532764948480 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 3532764948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348708147600).

3532764948480 is an abundant number, since it is smaller than the sum of its proper divisors (9164651346720).

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

3532764948480 is an equidigital number, since it uses as much as digits as its factorization.

3532764948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419781 (or 1419749 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 3532764948480 in words is "three trillion, five hundred thirty-two billion, seven hundred sixty-four million, nine hundred forty-eight thousand, four hundred eighty".