3309696 has 144 divisors (see below), whose sum is σ = 10919610. Its totient is φ = 958464.

The previous prime is 3309689. The next prime is 3309701. The reversal of 3309696 is 6969033.

It can be written as a sum of positive squares in 3 ways, for example, as 2143296 + 1166400 = 1464^2 + 1080^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3309696² = 21908175224832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3309696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194680 + ... + 194696.

Almost surely, 2^3309696 is an apocalyptic number.

3309696 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 3309696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459805).

3309696 is an abundant number, since it is smaller than the sum of its proper divisors (7609914).

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

3309696 is a wasteful number, since it uses less digits than its factorization.

3309696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3309696 is about 1819.2569911917. The cubic root of 3309696 is about 149.0262254335.

It can be divided in two parts, 3309 and 696, that added together give a triangular number (4005 = T₈₉).

The spelling of 3309696 in words is "three million, three hundred nine thousand, six hundred ninety-six".