3306386160 has 480 divisors, whose sum is σ = 14451360768. Its totient is φ = 656916480.

The previous prime is 3306386141. The next prime is 3306386173. The reversal of 3306386160 is 616836033.

3306386160 is a `hidden beast` number, since 3 + 3 + 0 + 6 + 38 + 616 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1273824 + ... + 1276416.

Almost surely, 2^3306386160 is an apocalyptic number.

3306386160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3306386160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225680384).

3306386160 is an abundant number, since it is smaller than the sum of its proper divisors (11144974608).

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

3306386160 is a wasteful number, since it uses less digits than its factorization.

3306386160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3306386160 is about 57501.1839878102. The cubic root of 3306386160 is about 1489.7653129460.

The spelling of 3306386160 in words is "three billion, three hundred six million, three hundred eighty-six thousand, one hundred sixty".