33416448 has 72 divisors (see below), whose sum is σ = 95806368. Its totient is φ = 10278912.

The previous prime is 33416437. The next prime is 33416489. The reversal of 33416448 is 84461433.

It is a happy number.

It is a super-2 number, since 2×33416448² = 2233317993873408, 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 an unprimeable number.

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, 8311 + ... + 11657.

It is an arithmetic number, because the mean of its divisors is an integer number (1330644).

Almost surely, 2^33416448 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 33416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47903184).

33416448 is an abundant number, since it is smaller than the sum of its proper divisors (62389920).

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

33416448 is a wasteful number, since it uses less digits than its factorization.

33416448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3365 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 33416448 is about 5780.6961518488. The cubic root of 33416448 is about 322.0970606157.

The spelling of 33416448 in words is "thirty-three million, four hundred sixteen thousand, four hundred forty-eight".