3413313420 has 96 divisors (see below), whose sum is σ = 10622949120. Its totient is φ = 811848960.

The previous prime is 3413313419. The next prime is 3413313437. The reversal of 3413313420 is 243133143.

3413313420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 13810 + ... + 83769.

It is an arithmetic number, because the mean of its divisors is an integer number (110655720).

Almost surely, 2^3413313420 is an apocalyptic number.

3413313420 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 3413313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311474560).

3413313420 is an abundant number, since it is smaller than the sum of its proper divisors (7209635700).

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

3413313420 is a wasteful number, since it uses less digits than its factorization.

3413313420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97655 (or 97653 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3413313420 is about 58423.5690453776. The cubic root of 3413313420 is about 1505.6547182096.

Adding to 3413313420 its reverse (243133143), we get a palindrome (3656446563).

The spelling of 3413313420 in words is "three billion, four hundred thirteen million, three hundred thirteen thousand, four hundred twenty".