33720 has 32 divisors (see below), whose sum is σ = 101520. Its totient is φ = 8960.

The previous prime is 33713. The next prime is 33721. The reversal of 33720 is 2733.

It is a super-2 number, since 2×33720² = 2274076800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 33720.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33720.

It is not an unprimeable number, because it can be changed into a prime (33721) 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 7 ways as a sum of consecutive naturals, for example, 21 + ... + 260.

2³³⁷²⁰ is an apocalyptic number.

33720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50760).

33720 is an abundant number, since it is smaller than the sum of its proper divisors (67800).

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

33720 is a wasteful number, since it uses less digits than its factorization.

33720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 33720 is about 183.6300628982. The cubic root of 33720 is about 32.3069422467.

The spelling of 33720 in words is "thirty-three thousand, seven hundred twenty".