3408541344 has 192 divisors, whose sum is σ = 11336734080. Its totient is φ = 987033600.

The previous prime is 3408541337. The next prime is 3408541349. The reversal of 3408541344 is 4431458043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3408541299 and 3408541308.

It is not an unprimeable number, because it can be changed into a prime (3408541349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182019 + ... + 199869.

It is an arithmetic number, because the mean of its divisors is an integer number (59045490).

Almost surely, 2^3408541344 is an apocalyptic number.

3408541344 is a gapful number since it is divisible by the number (34) 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 3408541344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668367040).

3408541344 is an abundant number, since it is smaller than the sum of its proper divisors (7928192736).

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

3408541344 is a wasteful number, since it uses less digits than its factorization.

3408541344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17900 (or 17886 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3408541344 is about 58382.7144281593. The cubic root of 3408541344 is about 1504.9527170643.

Adding to 3408541344 its reverse (4431458043), we get a palindrome (7839999387).

The spelling of 3408541344 in words is "three billion, four hundred eight million, five hundred forty-one thousand, three hundred forty-four".