3338329488 has 240 divisors, whose sum is σ = 10136226240. Its totient is φ = 938511360.

The previous prime is 3338329481. The next prime is 3338329517. The reversal of 3338329488 is 8849238333.

It is a happy number.

It is a super-2 number, since 2×3338329488² = 22288887540900684288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3338329488.

It is not an unprimeable number, because it can be changed into a prime (3338329481) 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, 11393470 + ... + 11393762.

It is an arithmetic number, because the mean of its divisors is an integer number (42234276).

Almost surely, 2^3338329488 is an apocalyptic number.

3338329488 is a gapful number since it is divisible by the number (38) 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 3338329488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068113120).

3338329488 is an abundant number, since it is smaller than the sum of its proper divisors (6797896752).

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

3338329488 is a wasteful number, since it uses less digits than its factorization.

3338329488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 361 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 51.

The square root of 3338329488 is about 57778.2786867176. The cubic root of 3338329488 is about 1494.5475359943.

The spelling of 3338329488 in words is "three billion, three hundred thirty-eight million, three hundred twenty-nine thousand, four hundred eighty-eight".