3505803664 has 60 divisors (see below), whose sum is σ = 7477621228. Its totient is φ = 1591096320.

The previous prime is 3505803577. The next prime is 3505803689. The reversal of 3505803664 is 4663085053.

It can be written as a sum of positive squares in 2 ways, for example, as 1721586064 + 1784217600 = 41492^2 + 42240^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1999012 + ... + 2000764.

Almost surely, 2^3505803664 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 3505803664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738810614).

3505803664 is an abundant number, since it is smaller than the sum of its proper divisors (3971817564).

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

3505803664 is a wasteful number, since it uses less digits than its factorization.

3505803664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 3505803664 is about 59209.8274275479. The cubic root of 3505803664 is about 1519.1332292766.

The spelling of 3505803664 in words is "three billion, five hundred five million, eight hundred three thousand, six hundred sixty-four".