3301814880 has 768 divisors, whose sum is σ = 14671964160. Its totient is φ = 674832384.

The previous prime is 3301814869. The next prime is 3301814897. The reversal of 3301814880 is 884181033.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14545327 + ... + 14545553.

It is an arithmetic number, because the mean of its divisors is an integer number (19104120).

Almost surely, 2^3301814880 is an apocalyptic number.

3301814880 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 3301814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335982080).

3301814880 is an abundant number, since it is smaller than the sum of its proper divisors (11370149280).

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

3301814880 is a wasteful number, since it uses less digits than its factorization.

3301814880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 3301814880 is about 57461.4207969138. The cubic root of 3301814880 is about 1489.0784325739.

The spelling of 3301814880 in words is "three billion, three hundred one million, eight hundred fourteen thousand, eight hundred eighty".