35400 has 48 divisors (see below), whose sum is σ = 111600. Its totient is φ = 9280.

The previous prime is 35393. The next prime is 35401. The reversal of 35400 is 453.

35400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

35400 is strictly pandigital in base 6.

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (35401) by changing a digit.

35400 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 11 ways as a sum of consecutive naturals, for example, 571 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (2325).

2³⁵⁴⁰⁰ is an apocalyptic number.

35400 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 35400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800).

35400 is an abundant number, since it is smaller than the sum of its proper divisors (76200).

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

35400 is a wasteful number, since it uses less digits than its factorization.

35400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 35400 is about 188.1488772223. The cubic root of 35400 is about 32.8348034305.

Adding to 35400 its reverse (453), we get a palindrome (35853).

It can be divided in two parts, 35 and 400, that added together give a triangular number (435 = T₂₉).

The spelling of 35400 in words is "thirty-five thousand, four hundred".