3364114633 has 32 divisors (see below), whose sum is σ = 3808062720. Its totient is φ = 2945928960.

The previous prime is 3364114627. The next prime is 3364114667.

3364114633 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3364114633 - 2⁹ = 3364114121 is a prime.

It is a super-2 number, since 2×3364114633² = 22634534527929449378, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3364114603) 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 31 ways as a sum of consecutive naturals, for example, 10612191 + ... + 10612507.

It is an arithmetic number, because the mean of its divisors is an integer number (119001960).

Almost surely, 2^3364114633 is an apocalyptic number.

It is an amenable number.

3364114633 is a deficient number, since it is larger than the sum of its proper divisors (443948087).

3364114633 is a wasteful number, since it uses less digits than its factorization.

3364114633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657.

The product of its digits is 46656, while the sum is 34.

The square root of 3364114633 is about 58000.9882070987. The cubic root of 3364114633 is about 1498.3856161703.

The spelling of 3364114633 in words is "three billion, three hundred sixty-four million, one hundred fourteen thousand, six hundred thirty-three".