33760 has 24 divisors (see below), whose sum is σ = 80136. Its totient is φ = 13440.

The previous prime is 33757. The next prime is 33767. The reversal of 33760 is 6733.

33760 = T₂₉ + T₃₀ + ... + T₆₀.

It is a happy number.

33760 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×33760² = 2279475200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55 + ... + 265.

It is an arithmetic number, because the mean of its divisors is an integer number (3339).

2³³⁷⁶⁰ 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 33760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40068).

33760 is an abundant number, since it is smaller than the sum of its proper divisors (46376).

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

33760 is a wasteful number, since it uses less digits than its factorization.

33760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 33760 is about 183.7389452457. The cubic root of 33760 is about 32.3197117904.

The spelling of 33760 in words is "thirty-three thousand, seven hundred sixty".