3413805440 has 64 divisors (see below), whose sum is σ = 8283040560. Its totient is φ = 1345124352.

The previous prime is 3413805391. The next prime is 3413805443. The reversal of 3413805440 is 445083143.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3413805397 and 3413805406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413805443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3074 + ... + 82686.

Almost surely, 2^3413805440 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 3413805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141520280).

3413805440 is an abundant number, since it is smaller than the sum of its proper divisors (4869235120).

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

3413805440 is an equidigital number, since it uses as much as digits as its factorization.

3413805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79699 (or 79687 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 3413805440 is about 58427.7796942516. The cubic root of 3413805440 is about 1505.7270601005.

Adding to 3413805440 its reverse (445083143), we get a palindrome (3858888583).

The spelling of 3413805440 in words is "three billion, four hundred thirteen million, eight hundred five thousand, four hundred forty".