3349736 has 32 divisors (see below), whose sum is σ = 6988800. Its totient is φ = 1494720.

The previous prime is 3349733. The next prime is 3349763. The reversal of 3349736 is 6379433.

3349736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3349736² = 22441462539392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3349696 and 3349705.

It is not an unprimeable number, because it can be changed into a prime (3349733) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2705 + ... + 3743.

It is an arithmetic number, because the mean of its divisors is an integer number (218400).

Almost surely, 2^3349736 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 3349736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494400).

3349736 is an abundant number, since it is smaller than the sum of its proper divisors (3639064).

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

3349736 is a wasteful number, since it uses less digits than its factorization.

3349736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1085 counting only the distinct ones).

The product of its digits is 40824, while the sum is 35.

The square root of 3349736 is about 1830.2284010473. The cubic root of 3349736 is about 149.6247807043.

It can be divided in two parts, 33497 and 36, that added together give a palindrome (33533).

The spelling of 3349736 in words is "three million, three hundred forty-nine thousand, seven hundred thirty-six".