3305363880 has 512 divisors, whose sum is σ = 13063680000. Its totient is φ = 649617408.

The previous prime is 3305363869. The next prime is 3305363881. The reversal of 3305363880 is 883635033.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3305363881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18465631 + ... + 18465809.

It is an arithmetic number, because the mean of its divisors is an integer number (25515000).

Almost surely, 2^3305363880 is an apocalyptic number.

3305363880 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 3305363880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840000).

3305363880 is an abundant number, since it is smaller than the sum of its proper divisors (9758316120).

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

3305363880 is a wasteful number, since it uses less digits than its factorization.

3305363880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3305363880 is about 57492.2940923390. The cubic root of 3305363880 is about 1489.6117601752.

The spelling of 3305363880 in words is "three billion, three hundred five million, three hundred sixty-three thousand, eight hundred eighty".