35700 has 72 divisors (see below), whose sum is σ = 124992. Its totient is φ = 7680.

The previous prime is 35677. The next prime is 35729. The reversal of 35700 is 753.

35700 is digitally balanced in base 2 and base 4, because in such bases 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 35700.

It is a congruent number.

It is an unprimeable number.

35700 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 23 ways as a sum of consecutive naturals, for example, 2092 + ... + 2108.

It is an arithmetic number, because the mean of its divisors is an integer number (1736).

2³⁵⁷⁰⁰ is an apocalyptic number.

35700 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 35700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496).

35700 is an abundant number, since it is smaller than the sum of its proper divisors (89292).

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

35700 is a wasteful number, since it uses less digits than its factorization.

35700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 35700 is about 188.9444362769. The cubic root of 35700 is about 32.9272963231.

The spelling of 35700 in words is "thirty-five thousand, seven hundred".