3413241216 has 576 divisors, whose sum is σ = 13060569600. Its totient is φ = 844462080.

The previous prime is 3413241199. The next prime is 3413241259. The reversal of 3413241216 is 6121423143.

It is a happy number.

3413241216 is a `hidden beast` number, since 3 + 413 + 241 + 2 + 1 + 6 = 666.

3413241216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3413241216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14281225 + ... + 14281463.

It is an arithmetic number, because the mean of its divisors is an integer number (22674600).

Almost surely, 2^3413241216 is an apocalyptic number.

3413241216 is a gapful number since it is divisible by the number (36) 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 3413241216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530284800).

3413241216 is an abundant number, since it is smaller than the sum of its proper divisors (9647328384).

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

3413241216 is a wasteful number, since it uses less digits than its factorization.

3413241216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3413241216 is about 58422.9511065643. The cubic root of 3413241216 is about 1505.6441014426.

Adding to 3413241216 its reverse (6121423143), we get a palindrome (9534664359).

The spelling of 3413241216 in words is "three billion, four hundred thirteen million, two hundred forty-one thousand, two hundred sixteen".