35380 has 24 divisors (see below), whose sum is σ = 78120. Its totient is φ = 13440.

The previous prime is 35363. The next prime is 35381. The reversal of 35380 is 8353.

35380 = T₁₃₁ + T₁₃₂ + ... + T₁₃₄.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 35344 = 6^2 + 188^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35381) by changing a digit.

35380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550 + ... + 610.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

2³⁵³⁸⁰ 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 35380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060).

35380 is an abundant number, since it is smaller than the sum of its proper divisors (42740).

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

35380 is a wasteful number, since it uses less digits than its factorization.

35380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 35380 is about 188.0957203128. The cubic root of 35380 is about 32.8286186868.

Multiplying 35380 by its sum of digits (19), we get a triangular number (672220 = T₁₁₅₉).

The spelling of 35380 in words is "thirty-five thousand, three hundred eighty".