3385116 has 108 divisors (see below), whose sum is σ = 10581480. Its totient is φ = 907200.

The previous prime is 3385111. The next prime is 3385127. The reversal of 3385116 is 6115833.

It is a super-2 number, since 2×3385116² = 22918020666912, which contains 22 as substring.

Its product of digits (2160) is a multiple of the sum of its prime factors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 3385116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33466 + ... + 33566.

Almost surely, 2^3385116 is an apocalyptic number.

3385116 is a gapful number since it is divisible by the number (36) 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 3385116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5290740).

3385116 is an abundant number, since it is smaller than the sum of its proper divisors (7196364).

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

3385116 is a wasteful number, since it uses less digits than its factorization.

3385116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 3385116 is about 1839.8684735600. The cubic root of 3385116 is about 150.1497171821.

The spelling of 3385116 in words is "three million, three hundred eighty-five thousand, one hundred sixteen".