35280 has 90 divisors (see below), whose sum is σ = 137826. Its totient is φ = 8064.

The previous prime is 35279. The next prime is 35281. The reversal of 35280 is 8253.

It is an interprime number because it is at equal distance from previous prime (35279) and next prime (35281).

It can be written as a sum of positive squares in only one way, i.e., 28224 + 7056 = 168^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35281) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5037 + ... + 5043.

2³⁵²⁸⁰ is an apocalyptic number.

35280 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 35280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68913).

35280 is an abundant number, since it is smaller than the sum of its proper divisors (102546).

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

35280 is a wasteful number, since it uses less digits than its factorization.

35280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 35280 is about 187.8297101100. The cubic root of 35280 is about 32.7976599560.

The spelling of 35280 in words is "thirty-five thousand, two hundred eighty".