3413021220 has 144 divisors (see below), whose sum is σ = 12120571008. Its totient is φ = 761080320.

The previous prime is 3413021177. The next prime is 3413021233. The reversal of 3413021220 is 221203143.

3413021220 is a `hidden beast` number, since 341 + 302 + 1 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3413021193 and 3413021202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18627 + ... + 84693.

It is an arithmetic number, because the mean of its divisors is an integer number (84170632).

Almost surely, 2^3413021220 is an apocalyptic number.

3413021220 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 3413021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6060285504).

3413021220 is an abundant number, since it is smaller than the sum of its proper divisors (8707549788).

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

3413021220 is a wasteful number, since it uses less digits than its factorization.

3413021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66130 (or 66125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3413021220 is about 58421.0682887603. The cubic root of 3413021220 is about 1505.6117526402.

Adding to 3413021220 its reverse (221203143), we get a palindrome (3634224363).

The spelling of 3413021220 in words is "three billion, four hundred thirteen million, twenty-one thousand, two hundred twenty".