3503818960 has 80 divisors (see below), whose sum is σ = 8280697680. Its totient is φ = 1378529280.

The previous prime is 3503818943. The next prime is 3503818961. The reversal of 3503818960 is 698183053.

It can be written as a sum of positive squares in 8 ways, for example, as 576576144 + 2927242816 = 24012^2 + 54104^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3503818961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3158886 + ... + 3159994.

It is an arithmetic number, because the mean of its divisors is an integer number (103508721).

Almost surely, 2^3503818960 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 3503818960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140348840).

3503818960 is an abundant number, since it is smaller than the sum of its proper divisors (4776878720).

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

3503818960 is a wasteful number, since it uses less digits than its factorization.

3503818960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 3503818960 is about 59193.0651343551. The cubic root of 3503818960 is about 1518.8465048219.

The spelling of 3503818960 in words is "three billion, five hundred three million, eight hundred eighteen thousand, nine hundred sixty".