33680346 has 48 divisors (see below), whose sum is σ = 79152480. Its totient is φ = 9525600.

The previous prime is 33680333. The next prime is 33680347. The reversal of 33680346 is 64308633.

33680346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33680346² = 2268731413359432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33680347) 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 23 ways as a sum of consecutive naturals, for example, 31521 + ... + 32571.

It is an arithmetic number, because the mean of its divisors is an integer number (1649010).

Almost surely, 2^33680346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33680346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39576240).

33680346 is an abundant number, since it is smaller than the sum of its proper divisors (45472134).

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

33680346 is a wasteful number, since it uses less digits than its factorization.

33680346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 33680346 is about 5803.4770612108. The cubic root of 33680346 is about 322.9427318777.

Adding to 33680346 its reverse (64308633), we get a palindrome (97988979).

The spelling of 33680346 in words is "thirty-three million, six hundred eighty thousand, three hundred forty-six".