3505580160 has 128 divisors (see below), whose sum is σ = 11434167360. Its totient is φ = 913059840.

The previous prime is 3505580107. The next prime is 3505580179. The reversal of 3505580160 is 610855053.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61330 + ... + 103790.

Almost surely, 2^3505580160 is an apocalyptic number.

3505580160 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 3505580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717083680).

3505580160 is an abundant number, since it is smaller than the sum of its proper divisors (7928587200).

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

3505580160 is a wasteful number, since it uses less digits than its factorization.

3505580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42526 (or 42514 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 3505580160 is about 59207.9400080766. The cubic root of 3505580160 is about 1519.1009457071.

The spelling of 3505580160 in words is "three billion, five hundred five million, five hundred eighty thousand, one hundred sixty".