33342816 has 48 divisors (see below), whose sum is σ = 94261104. Its totient is φ = 10258944.

The previous prime is 33342811. The next prime is 33342821. The reversal of 33342816 is 61824333.

It is an interprime number because it is at equal distance from previous prime (33342811) and next prime (33342821).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33342816² = 2223486757619712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33342811) 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 7 ways as a sum of consecutive naturals, for example, 12111 + ... + 14606.

It is an arithmetic number, because the mean of its divisors is an integer number (1963773).

Almost surely, 2^33342816 is an apocalyptic number.

It is an amenable number.

33342816 is an abundant number, since it is smaller than the sum of its proper divisors (60918288).

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

33342816 is a wasteful number, since it uses less digits than its factorization.

33342816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26743 (or 26735 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 33342816 is about 5774.3238565221. The cubic root of 33342816 is about 321.8603100218.

The spelling of 33342816 in words is "thirty-three million, three hundred forty-two thousand, eight hundred sixteen".