3375830304 has 432 divisors, whose sum is σ = 12608719200. Its totient is φ = 875508480.

The previous prime is 3375830299. The next prime is 3375830321. The reversal of 3375830304 is 4030385733.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3375830304² = 22792460482809464832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 5122327 + ... + 5122985.

It is an arithmetic number, because the mean of its divisors is an integer number (29186850).

Almost surely, 2^3375830304 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 3375830304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304359600).

3375830304 is an abundant number, since it is smaller than the sum of its proper divisors (9232888896).

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

3375830304 is a wasteful number, since it uses less digits than its factorization.

3375830304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3375830304 is about 58101.8958726822. The cubic root of 3375830304 is about 1500.1229979141.

The spelling of 3375830304 in words is "three billion, three hundred seventy-five million, eight hundred thirty thousand, three hundred four".