3559416480 has 288 divisors, whose sum is σ = 13238527680. Its totient is φ = 893030400.

The previous prime is 3559416467. The next prime is 3559416499. The reversal of 3559416480 is 846149553.

3559416480 is a `hidden beast` number, since 3 + 5 + 594 + 16 + 48 + 0 = 666.

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

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

It is an unprimeable number.

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, 1247055 + ... + 1249905.

It is an arithmetic number, because the mean of its divisors is an integer number (45967110).

Almost surely, 2^3559416480 is an apocalyptic number.

3559416480 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 3559416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6619263840).

3559416480 is an abundant number, since it is smaller than the sum of its proper divisors (9679111200).

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

3559416480 is a wasteful number, since it uses less digits than its factorization.

3559416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3559416480 is about 59660.8454516025. The cubic root of 3559416480 is about 1526.8379137902.

The spelling of 3559416480 in words is "three billion, five hundred fifty-nine million, four hundred sixteen thousand, four hundred eighty".