3413354560 has 448 divisors, whose sum is σ = 11165921280. Its totient is φ = 961044480.

The previous prime is 3413354557. The next prime is 3413354561. The reversal of 3413354560 is 654533143.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (3413354561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10767522 + ... + 10767838.

Almost surely, 2^3413354560 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 3413354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582960640).

3413354560 is an abundant number, since it is smaller than the sum of its proper divisors (7752566720).

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

3413354560 is a wasteful number, since it uses less digits than its factorization.

3413354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The square root of 3413354560 is about 58423.9211282502. The cubic root of 3413354560 is about 1505.6607673060.

The spelling of 3413354560 in words is "three billion, four hundred thirteen million, three hundred fifty-four thousand, five hundred sixty".