3349633 has 8 divisors (see below), whose sum is σ = 3854720. Its totient is φ = 2851200.

The previous prime is 3349613. The next prime is 3349637. The reversal of 3349633 is 3369433.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3349633 - 2⁵ = 3349601 is a prime.

It is a super-2 number, since 2×3349633² = 22440082469378, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3² + 3⁵ + 4⁷ + 9 + 6⁸ + 3¹⁰ + 3¹³ .

It is a Duffinian number.

3349633 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3349595 and 3349604.

It is not an unprimeable number, because it can be changed into a prime (3349637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528 + ... + 2641.

It is an arithmetic number, because the mean of its divisors is an integer number (481840).

Almost surely, 2^3349633 is an apocalyptic number.

3349633 is the 1057-th octagonal number.

It is an amenable number.

3349633 is a deficient number, since it is larger than the sum of its proper divisors (505087).

3349633 is a wasteful number, since it uses less digits than its factorization.

3349633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327.

The product of its digits is 17496, while the sum is 31.

The square root of 3349633 is about 1830.2002622664. The cubic root of 3349633 is about 149.6232470999.

The spelling of 3349633 in words is "three million, three hundred forty-nine thousand, six hundred thirty-three".