3505413040 has 80 divisors (see below), whose sum is σ = 8432246016. Its totient is φ = 1353830400.

The previous prime is 3505413017. The next prime is 3505413053. The reversal of 3505413040 is 403145053.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3505412996 and 3505413014.

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, 1290724 + ... + 1293436.

Almost surely, 2^3505413040 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 3505413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216123008).

3505413040 is an abundant number, since it is smaller than the sum of its proper divisors (4926832976).

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

3505413040 is a wasteful number, since it uses less digits than its factorization.

3505413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 3505413040 is about 59206.5286940554. The cubic root of 3505413040 is about 1519.0768055103.

Adding to 3505413040 its reverse (403145053), we get a palindrome (3908558093).

The spelling of 3505413040 in words is "three billion, five hundred five million, four hundred thirteen thousand, forty".