3505889160 has 96 divisors (see below), whose sum is σ = 11406882240. Its totient is φ = 933858432.

The previous prime is 3505889147. The next prime is 3505889221. The reversal of 3505889160 is 619885053.

3505889160 is a `hidden beast` number, since 3 + 5 + 0 + 588 + 9 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348927 + ... + 358833.

It is an arithmetic number, because the mean of its divisors is an integer number (118821690).

Almost surely, 2^3505889160 is an apocalyptic number.

3505889160 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 3505889160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703441120).

3505889160 is an abundant number, since it is smaller than the sum of its proper divisors (7900993080).

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

3505889160 is a wasteful number, since it uses less digits than its factorization.

3505889160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10907 (or 10900 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 3505889160 is about 59210.5493978902. The cubic root of 3505889160 is about 1519.1455782053.

The spelling of 3505889160 in words is "three billion, five hundred five million, eight hundred eighty-nine thousand, one hundred sixty".