33378816 has 80 divisors (see below), whose sum is σ = 91922688. Its totient is φ = 10752000.

The previous prime is 33378809. The next prime is 33378841. The reversal of 33378816 is 61887333.

It is a super-2 number, since 2×33378816² = 2228290715123712, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 47266 + ... + 47966.

Almost surely, 2^33378816 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 33378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45961344).

33378816 is an abundant number, since it is smaller than the sum of its proper divisors (58543872).

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

33378816 is an equidigital number, since it uses as much as digits as its factorization.

33378816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 737 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 33378816 is about 5777.4402636462. The cubic root of 33378816 is about 321.9761051157.

The spelling of 33378816 in words is "thirty-three million, three hundred seventy-eight thousand, eight hundred sixteen".