3408444368 has 80 divisors (see below), whose sum is σ = 7684924800. Its totient is φ = 1434267648.

The previous prime is 3408444367. The next prime is 3408444373. The reversal of 3408444368 is 8634448043.

3408444368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3408444367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3248708 + ... + 3249756.

It is an arithmetic number, because the mean of its divisors is an integer number (96061560).

Almost surely, 2^3408444368 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 3408444368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842462400).

3408444368 is an abundant number, since it is smaller than the sum of its proper divisors (4276480432).

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

3408444368 is a wasteful number, since it uses less digits than its factorization.

3408444368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 44.

The square root of 3408444368 is about 58381.8839024573. The cubic root of 3408444368 is about 1504.9384445194.

The spelling of 3408444368 in words is "three billion, four hundred eight million, four hundred forty-four thousand, three hundred sixty-eight".