3505930560 has 448 divisors, whose sum is σ = 13871082240. Its totient is φ = 826122240.

The previous prime is 3505930517. The next prime is 3505930573. The reversal of 3505930560 is 650395053.

3505930560 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 93 + 0 + 560 = 666.

It is a super-3 number, since 3×3505930560³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3515982 + ... + 3516978.

Almost surely, 2^3505930560 is an apocalyptic number.

3505930560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3505930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935541120).

3505930560 is an abundant number, since it is smaller than the sum of its proper divisors (10365151680).

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

3505930560 is a wasteful number, since it uses less digits than its factorization.

3505930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

The square root of 3505930560 is about 59210.8989967219. The cubic root of 3505930560 is about 1519.1515578942.

The spelling of 3505930560 in words is "three billion, five hundred five million, nine hundred thirty thousand, five hundred sixty".