3362033160 has 96 divisors (see below), whose sum is σ = 10961884440. Its totient is φ = 893647872.

The previous prime is 3362033159. The next prime is 3362033179. The reversal of 3362033160 is 613302633.

3362033160 is a `hidden beast` number, since 3 + 3 + 620 + 3 + 31 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 674025444 + 2688007716 = 25962^2 + 51846^2 .

It is a super-2 number, since 2×3362033160² = 22606533937879171200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 97762 + ... + 127598.

Almost surely, 2^3362033160 is an apocalyptic number.

3362033160 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 3362033160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480942220).

3362033160 is an abundant number, since it is smaller than the sum of its proper divisors (7599851280).

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

3362033160 is a wasteful number, since it uses less digits than its factorization.

3362033160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30167 (or 30160 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3362033160 is about 57983.0420036755. The cubic root of 3362033160 is about 1498.0765212072.

Adding to 3362033160 its reverse (613302633), we get a palindrome (3975335793).

The spelling of 3362033160 in words is "three billion, three hundred sixty-two million, thirty-three thousand, one hundred sixty".