33948216 has 24 divisors (see below), whose sum is σ = 91943280. Its totient is φ = 11316048.

The previous prime is 33948197. The next prime is 33948217. The reversal of 33948216 is 61284933.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (33948217) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 235680 + ... + 235823.

It is an arithmetic number, because the mean of its divisors is an integer number (3830970).

Almost surely, 2^33948216 is an apocalyptic number.

33948216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33948216 is an abundant number, since it is smaller than the sum of its proper divisors (57995064).

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

33948216 is a wasteful number, since it uses less digits than its factorization.

33948216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471515 (or 471508 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 33948216 is about 5826.5097614266. The cubic root of 33948216 is about 323.7966259129.

The spelling of 33948216 in words is "thirty-three million, nine hundred forty-eight thousand, two hundred sixteen".