3413503544544 has 144 divisors (see below), whose sum is σ = 9851579966592. Its totient is φ = 1120941379584.

The previous prime is 3413503544537. The next prime is 3413503544557. The reversal of 3413503544544 is 4454453053143.

3413503544544 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 50 + 3 + 54 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3413503544544² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3413503544544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18049644 + ... + 18237780.

It is an arithmetic number, because the mean of its divisors is an integer number (68413749768).

Almost surely, 2^{3413503544544} 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 3413503544544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925789983296).

3413503544544 is an abundant number, since it is smaller than the sum of its proper divisors (6438076422048).

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

3413503544544 is a wasteful number, since it uses less digits than its factorization.

3413503544544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189089 (or 189078 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 3413503544544 its reverse (4454453053143), we get a palindrome (7867956597687).

The spelling of 3413503544544 in words is "three trillion, four hundred thirteen billion, five hundred three million, five hundred forty-four thousand, five hundred forty-four".