35376 has 40 divisors (see below), whose sum is σ = 101184. Its totient is φ = 10560.

The previous prime is 35363. The next prime is 35381. The reversal of 35376 is 67353.

It is a super-2 number, since 2×35376² = 2502922752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

35376 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 495 + ... + 561.

2³⁵³⁷⁶ 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 35376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50592).

35376 is an abundant number, since it is smaller than the sum of its proper divisors (65808).

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

35376 is a wasteful number, since it uses less digits than its factorization.

35376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its digits is 1890, while the sum is 24.

The square root of 35376 is about 188.0850871281. The cubic root of 35376 is about 32.8273814584.

The spelling of 35376 in words is "thirty-five thousand, three hundred seventy-six".