3559956480 has 560 divisors, whose sum is σ = 13559226120. Its totient is φ = 891813888.

The previous prime is 3559956473. The next prime is 3559956481. The reversal of 3559956480 is 846599553.

It is a happy number.

3559956480 is a `hidden beast` number, since 3 + 5 + 599 + 5 + 6 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3384446976 + 175509504 = 58176^2 + 13248^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3559956481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96215022 + ... + 96215058.

Almost surely, 2^3559956480 is an apocalyptic number.

3559956480 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 3559956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779613060).

3559956480 is an abundant number, since it is smaller than the sum of its proper divisors (9999269640).

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

3559956480 is an equidigital number, since it uses as much as digits as its factorization.

3559956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The square root of 3559956480 is about 59665.3708611620. The cubic root of 3559956480 is about 1526.9151222116.

The spelling of 3559956480 in words is "three billion, five hundred fifty-nine million, nine hundred fifty-six thousand, four hundred eighty".