3579881220 has 144 divisors (see below), whose sum is σ = 11261118960. Its totient is φ = 919446528.

The previous prime is 3579881189. The next prime is 3579881297. The reversal of 3579881220 is 221889753.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20088324 + 3559792896 = 4482^2 + 59664^2 .

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3533434 + ... + 3534446.

It is an arithmetic number, because the mean of its divisors is an integer number (78202215).

Almost surely, 2^3579881220 is an apocalyptic number.

3579881220 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 3579881220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630559480).

3579881220 is an abundant number, since it is smaller than the sum of its proper divisors (7681237740).

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

3579881220 is a wasteful number, since it uses less digits than its factorization.

3579881220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3579881220 is about 59832.1086039929. The cubic root of 3579881220 is about 1529.7584906509.

The spelling of 3579881220 in words is "three billion, five hundred seventy-nine million, eight hundred eighty-one thousand, two hundred twenty".