3408109824 has 288 divisors, whose sum is σ = 11085871104. Its totient is φ = 908328960.

The previous prime is 3408109777. The next prime is 3408109879. The reversal of 3408109824 is 4289018043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5316544 + ... + 5317184.

It is an arithmetic number, because the mean of its divisors is an integer number (38492608).

Almost surely, 2^3408109824 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 3408109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542935552).

3408109824 is an abundant number, since it is smaller than the sum of its proper divisors (7677761280).

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

3408109824 is a wasteful number, since it uses less digits than its factorization.

3408109824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 3408109824 is about 58379.0186967887. The cubic root of 3408109824 is about 1504.8892055758.

The spelling of 3408109824 in words is "three billion, four hundred eight million, one hundred nine thousand, eight hundred twenty-four".