34740 has 36 divisors (see below), whose sum is σ = 105924. Its totient is φ = 9216.

The previous prime is 34739. The next prime is 34747. The reversal of 34740 is 4743.

34740 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 can be written as a sum of positive squares in 2 ways, for example, as 10404 + 24336 = 102^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34747) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84 + ... + 276.

2³⁴⁷⁴⁰ is an apocalyptic number.

34740 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 34740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52962).

34740 is an abundant number, since it is smaller than the sum of its proper divisors (71184).

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

34740 is a wasteful number, since it uses less digits than its factorization.

34740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 34740 is about 186.3866948041. The cubic root of 34740 is about 32.6294638715.

The spelling of 34740 in words is "thirty-four thousand, seven hundred forty".