3328706304 has 432 divisors, whose sum is σ = 12397432320. Its totient is φ = 833495040.

The previous prime is 3328706263. The next prime is 3328706323. The reversal of 3328706304 is 4036078233.

It is a super-2 number, since 2×3328706304² = 22160571316578680832, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5144509 + ... + 5145155.

It is an arithmetic number, because the mean of its divisors is an integer number (28697760).

Almost surely, 2^3328706304 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 3328706304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198716160).

3328706304 is an abundant number, since it is smaller than the sum of its proper divisors (9068726016).

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

3328706304 is a wasteful number, since it uses less digits than its factorization.

3328706304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3328706304 is about 57694.9417540221. The cubic root of 3328706304 is about 1493.1100757510.

The spelling of 3328706304 in words is "three billion, three hundred twenty-eight million, seven hundred six thousand, three hundred four".