3339563904 has 240 divisors, whose sum is σ = 10319886720. Its totient is φ = 1071995904.

The previous prime is 3339563891. The next prime is 3339563947. The reversal of 3339563904 is 4093659333.

3339563904 is a `hidden beast` number, since 3 + 3 + 3 + 9 + 5 + 639 + 0 + 4 = 666.

It is a super-3 number, since 3×3339563904³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3339563904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8719297 + ... + 8719679.

It is an arithmetic number, because the mean of its divisors is an integer number (42999528).

Almost surely, 2^3339563904 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 3339563904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159943360).

3339563904 is an abundant number, since it is smaller than the sum of its proper divisors (6980322816).

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

3339563904 is an equidigital number, since it uses as much as digits as its factorization.

3339563904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 45.

The square root of 3339563904 is about 57788.9600529374. The cubic root of 3339563904 is about 1494.7317265252.

The spelling of 3339563904 in words is "three billion, three hundred thirty-nine million, five hundred sixty-three thousand, nine hundred four".