3324415120 has 80 divisors (see below), whose sum is σ = 8333341632. Its totient is φ = 1226073600.

The previous prime is 3324415117. The next prime is 3324415141. The reversal of 3324415120 is 215144233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3324415120² = 22103471780169228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1507939 + ... + 1510141.

Almost surely, 2^3324415120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3324415120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166670816).

3324415120 is an abundant number, since it is smaller than the sum of its proper divisors (5008926512).

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

3324415120 is a wasteful number, since it uses less digits than its factorization.

3324415120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3324415120 is about 57657.7411975183. The cubic root of 3324415120 is about 1492.4681882098.

Adding to 3324415120 its reverse (215144233), we get a palindrome (3539559353).

It can be divided in two parts, 332441 and 5120, that added together give a square (337561 = 581²).

The spelling of 3324415120 in words is "three billion, three hundred twenty-four million, four hundred fifteen thousand, one hundred twenty".