3559849920 has 336 divisors, whose sum is σ = 13723059168. Its totient is φ = 839393280.

The previous prime is 3559849897. The next prime is 3559849921. The reversal of 3559849920 is 299489553.

It is a happy number.

3559849920 is a `hidden beast` number, since 3 + 5 + 598 + 49 + 9 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3559849921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170642 + ... + 1173678.

It is an arithmetic number, because the mean of its divisors is an integer number (40842438).

Almost surely, 2^3559849920 is an apocalyptic number.

3559849920 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 3559849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6861529584).

3559849920 is an abundant number, since it is smaller than the sum of its proper divisors (10163209248).

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

3559849920 is a wasteful number, since it uses less digits than its factorization.

3559849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The square root of 3559849920 is about 59664.4778741924. The cubic root of 3559849920 is about 1526.8998870348.

It can be divided in two parts, 3559849 and 920, that added together give a square (3560769 = 1887²).

The spelling of 3559849920 in words is "three billion, five hundred fifty-nine million, eight hundred forty-nine thousand, nine hundred twenty".