3339408384 has 440 divisors, whose sum is σ = 11373787040. Its totient is φ = 967458816.

The previous prime is 3339408383. The next prime is 3339408389. The reversal of 3339408384 is 4838049333.

It is a super-2 number, since 2×3339408384² = 22303296710258982912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3339408383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20487087 + ... + 20487249.

It is an arithmetic number, because the mean of its divisors is an integer number (25849516).

Almost surely, 2^3339408384 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 3339408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5686893520).

3339408384 is an abundant number, since it is smaller than the sum of its proper divisors (8034378656).

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

3339408384 is a wasteful number, since it uses less digits than its factorization.

3339408384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3339408384 is about 57787.6144515414. The cubic root of 3339408384 is about 1494.7085234670.

The spelling of 3339408384 in words is "three billion, three hundred thirty-nine million, four hundred eight thousand, three hundred eighty-four".