3414313320 has 256 divisors, whose sum is σ = 12003655680. Its totient is φ = 767692800.

The previous prime is 3414313313. The next prime is 3414313321. The reversal of 3414313320 is 233134143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3414313321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1592169 + ... + 1594311.

It is an arithmetic number, because the mean of its divisors is an integer number (46889280).

Almost surely, 2^3414313320 is an apocalyptic number.

3414313320 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 3414313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001827840).

3414313320 is an abundant number, since it is smaller than the sum of its proper divisors (8589342360).

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

3414313320 is a wasteful number, since it uses less digits than its factorization.

3414313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2252 counting only the distinct ones).

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

The square root of 3414313320 is about 58432.1257528767. The cubic root of 3414313320 is about 1505.8017266032.

Adding to 3414313320 its reverse (233134143), we get a palindrome (3647447463).

The spelling of 3414313320 in words is "three billion, four hundred fourteen million, three hundred thirteen thousand, three hundred twenty".