3339830880 has 576 divisors, whose sum is σ = 12997490688. Its totient is φ = 806215680.

The previous prime is 3339830873. The next prime is 3339830917. The reversal of 3339830880 is 880389333.

3339830880 is a `hidden beast` number, since 3 + 339 + 8 + 308 + 8 + 0 = 666.

It is a super-2 number, since 2×3339830880² = 22308940614003148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 20489679 + ... + 20489841.

It is an arithmetic number, because the mean of its divisors is an integer number (22565088).

Almost surely, 2^3339830880 is an apocalyptic number.

3339830880 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 3339830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498745344).

3339830880 is an abundant number, since it is smaller than the sum of its proper divisors (9657659808).

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

3339830880 is a wasteful number, since it uses less digits than its factorization.

3339830880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3339830880 is about 57791.2699289434. The cubic root of 3339830880 is about 1494.7715567621.

The spelling of 3339830880 in words is "three billion, three hundred thirty-nine million, eight hundred thirty thousand, eight hundred eighty".