3380033106 has 72 divisors (see below), whose sum is σ = 7742052864. Its totient is φ = 1064162160.

The previous prime is 3380033087. The next prime is 3380033113. The reversal of 3380033106 is 6013300833.

It is a super-2 number, since 2×3380033106² = 22849247595312014472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3380033106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9414955 + ... + 9415313.

It is an arithmetic number, because the mean of its divisors is an integer number (107528512).

Almost surely, 2^3380033106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380033106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871026432).

3380033106 is an abundant number, since it is smaller than the sum of its proper divisors (4362019758).

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

3380033106 is a wasteful number, since it uses less digits than its factorization.

3380033106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3380033106 is about 58138.0521345530. The cubic root of 3380033106 is about 1500.7452749821.

Adding to 3380033106 its reverse (6013300833), we get a palindrome (9393333939).

The spelling of 3380033106 in words is "three billion, three hundred eighty million, thirty-three thousand, one hundred six".