3405339520 has 128 divisors (see below), whose sum is σ = 9267540480. Its totient is φ = 1184409600.

The previous prime is 3405339499. The next prime is 3405339569. The reversal of 3405339520 is 259335043.

3405339520 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 (128).

It is a congruent number.

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, 151405 + ... + 172435.

It is an arithmetic number, because the mean of its divisors is an integer number (72402660).

Almost surely, 2^3405339520 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 3405339520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633770240).

3405339520 is an abundant number, since it is smaller than the sum of its proper divisors (5862200960).

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

3405339520 is a wasteful number, since it uses less digits than its factorization.

3405339520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21084 (or 21072 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 34.

The square root of 3405339520 is about 58355.2869926967. The cubic root of 3405339520 is about 1504.4813420863.

It can be divided in two parts, 340533 and 9520, that added together give a palindrome (350053).

The spelling of 3405339520 in words is "three billion, four hundred five million, three hundred thirty-nine thousand, five hundred twenty".