3363633 has 48 divisors (see below), whose sum is σ = 6303360. Its totient is φ = 1726272.

The previous prime is 3363629. The next prime is 3363641.

3363633 is nontrivially palindromic in base 10.

3363633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3363633 - 2² = 3363629 is a prime.

It is a super-2 number, since 2×3363633² = 22628053917378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 3³ + 3⁶ + 6⁸ + 3⁶ + 6⁸ + 3⁶ + 3⁷ .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3363597 and 3363606.

It is not an unprimeable number, because it can be changed into a prime (3363643) 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 47 ways as a sum of consecutive naturals, for example, 90891 + ... + 90927.

It is an arithmetic number, because the mean of its divisors is an integer number (131320).

Almost surely, 2^3363633 is an apocalyptic number.

It is an amenable number.

3363633 is a deficient number, since it is larger than the sum of its proper divisors (2939727).

3363633 is a wasteful number, since it uses less digits than its factorization.

3363633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its digits is 8748, while the sum is 27.

The square root of 3363633 is about 1834.0209922463. The cubic root of 3363633 is about 149.8314105884.

It can be divided in two parts, 336 and 3633, that added together give a square (3969 = 63²).

The spelling of 3363633 in words is "three million, three hundred sixty-three thousand, six hundred thirty-three".