3366728960 has 432 divisors, whose sum is σ = 10521923328. Its totient is φ = 1005649920.

The previous prime is 3366728941. The next prime is 3366728971. The reversal of 3366728960 is 698276633.

It is a super-2 number, since 2×3366728960² = 22669727780205363200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3366728899 and 3366728908.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 108604145 + ... + 108604175.

It is an arithmetic number, because the mean of its divisors is an integer number (24356304).

Almost surely, 2^3366728960 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 3366728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260961664).

3366728960 is an abundant number, since it is smaller than the sum of its proper divisors (7155194368).

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

3366728960 is a wasteful number, since it uses less digits than its factorization.

3366728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 50.

The square root of 3366728960 is about 58023.5207480553. The cubic root of 3366728960 is about 1498.7736584048.

The spelling of 3366728960 in words is "three billion, three hundred sixty-six million, seven hundred twenty-eight thousand, nine hundred sixty".