3413322120 has 128 divisors (see below), whose sum is σ = 11108845440. Its totient is φ = 834017280.

The previous prime is 3413322109. The next prime is 3413322131. The reversal of 3413322120 is 212233143.

It is an interprime number because it is at equal distance from previous prime (3413322109) and next prime (3413322131).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205735 + ... + 221705.

It is an arithmetic number, because the mean of its divisors is an integer number (86787855).

Almost surely, 2^3413322120 is an apocalyptic number.

3413322120 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 3413322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5554422720).

3413322120 is an abundant number, since it is smaller than the sum of its proper divisors (7695523320).

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

3413322120 is a wasteful number, since it uses less digits than its factorization.

3413322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16135 (or 16131 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3413322120 is about 58423.6435015825. The cubic root of 3413322120 is about 1505.6559974343.

Adding to 3413322120 its reverse (212233143), we get a palindrome (3625555263).

The spelling of 3413322120 in words is "three billion, four hundred thirteen million, three hundred twenty-two thousand, one hundred twenty".