3505799880 has 192 divisors, whose sum is σ = 12890404800. Its totient is φ = 849864960.

The previous prime is 3505799867. The next prime is 3505799881. The reversal of 3505799880 is 889975053.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3505799881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90526 + ... + 123314.

It is an arithmetic number, because the mean of its divisors is an integer number (67137525).

Almost surely, 2^3505799880 is an apocalyptic number.

3505799880 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 3505799880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6445202400).

3505799880 is an abundant number, since it is smaller than the sum of its proper divisors (9384604920).

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

3505799880 is a wasteful number, since it uses less digits than its factorization.

3505799880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32826 (or 32810 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 3505799880 is about 59209.7954733843. The cubic root of 3505799880 is about 1519.1326827160.

The spelling of 3505799880 in words is "three billion, five hundred five million, seven hundred ninety-nine thousand, eight hundred eighty".