3383678304 has 144 divisors (see below), whose sum is σ = 10095557472. Its totient is φ = 1072963584.

The previous prime is 3383678297. The next prime is 3383678329. The reversal of 3383678304 is 4038763833.

3383678304 is a `hidden beast` number, since 338 + 3 + 6 + 7 + 8 + 304 = 666.

3383678304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×3383678304³ (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 3383678304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1303632 + ... + 1306224.

It is an arithmetic number, because the mean of its divisors is an integer number (70108038).

Almost surely, 2^3383678304 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 3383678304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5047778736).

3383678304 is an abundant number, since it is smaller than the sum of its proper divisors (6711879168).

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

3383678304 is a wasteful number, since it uses less digits than its factorization.

3383678304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3383678304 is about 58169.3931892022. The cubic root of 3383678304 is about 1501.2845742653.

The spelling of 3383678304 in words is "three billion, three hundred eighty-three million, six hundred seventy-eight thousand, three hundred four".