3413589253824 has 224 divisors, whose sum is σ = 9867268454400. Its totient is φ = 1037334085632.

The previous prime is 3413589253813. The next prime is 3413589253927. The reversal of 3413589253824 is 4283529853143.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14765877 + ... + 14995275.

It is an arithmetic number, because the mean of its divisors is an integer number (44050305600).

Almost surely, 2^{3413589253824} is an apocalyptic number.

3413589253824 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 3413589253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933634227200).

3413589253824 is an abundant number, since it is smaller than the sum of its proper divisors (6453679200576).

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

3413589253824 is a wasteful number, since it uses less digits than its factorization.

3413589253824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229575 (or 229565 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 57.

The spelling of 3413589253824 in words is "three trillion, four hundred thirteen billion, five hundred eighty-nine million, two hundred fifty-three thousand, eight hundred twenty-four".