3413333220 has 96 divisors (see below), whose sum is σ = 10451911680. Its totient is φ = 825432960.

The previous prime is 3413333201. The next prime is 3413333227. The reversal of 3413333220 is 223333143.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3413333227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270369 + ... + 282711.

It is an arithmetic number, because the mean of its divisors is an integer number (108874080).

Almost surely, 2^3413333220 is an apocalyptic number.

3413333220 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 3413333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225955840).

3413333220 is an abundant number, since it is smaller than the sum of its proper divisors (7038578460).

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

3413333220 is a wasteful number, since it uses less digits than its factorization.

3413333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12785 (or 12783 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 3413333220 is about 58423.7384972923. The cubic root of 3413333220 is about 1505.6576295455.

Adding to 3413333220 its reverse (223333143), we get a palindrome (3636666363).

It can be divided in two parts, 3413 and 333220, that added together give a palindrome (336633).

The spelling of 3413333220 in words is "three billion, four hundred thirteen million, three hundred thirty-three thousand, two hundred twenty".