3388338880 has 112 divisors (see below), whose sum is σ = 8220419424. Its totient is φ = 1330053120.

The previous prime is 3388338871. The next prime is 3388338883. The reversal of 3388338880 is 888338833.

It is a happy number.

It is a super-3 number, since 3×3388338880³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3388338883) 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 15 ways as a sum of consecutive naturals, for example, 5125750 + ... + 5126410.

It is an arithmetic number, because the mean of its divisors is an integer number (73396602).

Almost surely, 2^3388338880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3388338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110209712).

3388338880 is an abundant number, since it is smaller than the sum of its proper divisors (4832080544).

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

3388338880 is a wasteful number, since it uses less digits than its factorization.

3388338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 52.

The square root of 3388338880 is about 58209.4397842824. The cubic root of 3388338880 is about 1501.9735326775.

The spelling of 3388338880 in words is "three billion, three hundred eighty-eight million, three hundred thirty-eight thousand, eight hundred eighty".