35340 has 48 divisors (see below), whose sum is σ = 107520. Its totient is φ = 8640.

The previous prime is 35339. The next prime is 35353. The reversal of 35340 is 4353.

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

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1125 + ... + 1155.

It is an arithmetic number, because the mean of its divisors is an integer number (2240).

2³⁵³⁴⁰ is an apocalyptic number.

35340 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 35340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53760).

35340 is an abundant number, since it is smaller than the sum of its proper divisors (72180).

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

35340 is a wasteful number, since it uses less digits than its factorization.

35340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 35340 is about 187.9893614011. The cubic root of 35340 is about 32.8162422036.

Adding to 35340 its reverse (4353), we get a palindrome (39693).

It can be divided in two parts, 353 and 40, that added together give a palindrome (393).

The spelling of 35340 in words is "thirty-five thousand, three hundred forty".