33382016 has 96 divisors (see below), whose sum is σ = 76148100. Its totient is φ = 14508032.

The previous prime is 33382007. The next prime is 33382021. The reversal of 33382016 is 61028333.

It can be written as a sum of positive squares in 2 ways, for example, as 32535616 + 846400 = 5704^2 + 920^2 .

It is a super-2 number, since 2×33382016² = 2228717984448512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1151090 + ... + 1151118.

Almost surely, 2^33382016 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 33382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38074050).

33382016 is an abundant number, since it is smaller than the sum of its proper divisors (42766084).

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

33382016 is a wasteful number, since it uses less digits than its factorization.

33382016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 33382016 is about 5777.7171962636. The cubic root of 33382016 is about 321.9863939829.

The spelling of 33382016 in words is "thirty-three million, three hundred eighty-two thousand, sixteen".