3361221633 has 64 divisors (see below), whose sum is σ = 5847552000. Its totient is φ = 1665269760.

The previous prime is 3361221613. The next prime is 3361221641.

3361221633 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3361221633 - 2²⁰ = 3360173057 is a prime.

It is a super-3 number, since 3×3361221633³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3361221633.

It is not an unprimeable number, because it can be changed into a prime (3361221613) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2384833 + ... + 2386241.

It is an arithmetic number, because the mean of its divisors is an integer number (91368000).

Almost surely, 2^3361221633 is an apocalyptic number.

3361221633 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3361221633 is a deficient number, since it is larger than the sum of its proper divisors (2486330367).

3361221633 is a wasteful number, since it uses less digits than its factorization.

3361221633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902.

The product of its digits is 11664, while the sum is 30.

The square root of 3361221633 is about 57976.0436128579. The cubic root of 3361221633 is about 1497.9559763545.

The spelling of 3361221633 in words is "three billion, three hundred sixty-one million, two hundred twenty-one thousand, six hundred thirty-three".