3339508480 has 288 divisors, whose sum is σ = 10304114688. Its totient is φ = 1006387200.

The previous prime is 3339508453. The next prime is 3339508481. The reversal of 3339508480 is 848059333.

It is a super-2 number, since 2×3339508480² = 22304633775983820800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3339508481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3054814 + ... + 3055906.

It is an arithmetic number, because the mean of its divisors is an integer number (35778176).

Almost surely, 2^3339508480 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 3339508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152057344).

3339508480 is an abundant number, since it is smaller than the sum of its proper divisors (6964606208).

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

3339508480 is a wasteful number, since it uses less digits than its factorization.

3339508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 3339508480 is about 57788.4805129881. The cubic root of 3339508480 is about 1494.7234575344.

The spelling of 3339508480 in words is "three billion, three hundred thirty-nine million, five hundred eight thousand, four hundred eighty".