33645216 has 96 divisors (see below), whose sum is σ = 97445376. Its totient is φ = 10080000.

The previous prime is 33645203. The next prime is 33645229. The reversal of 33645216 is 61254633.

It is an interprime number because it is at equal distance from previous prime (33645203) and next prime (33645229).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33645216² = 2264001119373312, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159351 + ... + 159561.

It is an arithmetic number, because the mean of its divisors is an integer number (1015056).

Almost surely, 2^33645216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33645216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48722688).

33645216 is an abundant number, since it is smaller than the sum of its proper divisors (63800160).

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

33645216 is a wasteful number, since it uses less digits than its factorization.

33645216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 378 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 33645216 is about 5800.4496377436. The cubic root of 33645216 is about 322.8304119223.

Adding to 33645216 its reverse (61254633), we get a palindrome (94899849).

The spelling of 33645216 in words is "thirty-three million, six hundred forty-five thousand, two hundred sixteen".