3505289880 has 128 divisors (see below), whose sum is σ = 10702264320. Its totient is φ = 918274560.

The previous prime is 3505289869. The next prime is 3505289881. The reversal of 3505289880 is 889825053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3505289881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3177409 + ... + 3178511.

It is an arithmetic number, because the mean of its divisors is an integer number (83611440).

Almost surely, 2^3505289880 is an apocalyptic number.

3505289880 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 3505289880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5351132160).

3505289880 is an abundant number, since it is smaller than the sum of its proper divisors (7196974440).

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

3505289880 is a wasteful number, since it uses less digits than its factorization.

3505289880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The square root of 3505289880 is about 59205.4885969198. The cubic root of 3505289880 is about 1519.0590147690.

The spelling of 3505289880 in words is "three billion, five hundred five million, two hundred eighty-nine thousand, eight hundred eighty".