3366996633 has 216 divisors, whose sum is σ = 7044680160. Its totient is φ = 1570907520.

The previous prime is 3366996613. The next prime is 3366996649.

3366996633 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3366996633 - 2¹² = 3366992537 is a prime.

It is a super-2 number, since 2×3366996633² = 22673332653266673378, which contains 22 as substring.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 3366996633.

It is not an unprimeable number, because it can be changed into a prime (3366996613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 90999891 + ... + 90999927.

It is an arithmetic number, because the mean of its divisors is an integer number (32614260).

Almost surely, 2^3366996633 is an apocalyptic number.

3366996633 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3366996633 is an abundant number, since it is smaller than the sum of its proper divisors (3677683527).

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

3366996633 is a wasteful number, since it uses less digits than its factorization.

3366996633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 71 counting only the distinct ones).

The product of its digits is 8503056, while the sum is 54.

The square root of 3366996633 is about 58025.8272926806. The cubic root of 3366996633 is about 1498.8133775323.

It can be divided in two parts, 3366 and 996633, that added together give a palindrome (999999).

The spelling of 3366996633 in words is "three billion, three hundred sixty-six million, nine hundred ninety-six thousand, six hundred thirty-three".