34500 has 48 divisors (see below), whose sum is σ = 104832. Its totient is φ = 8800.

The previous prime is 34499. The next prime is 34501. The reversal of 34500 is 543.

It is an interprime number because it is at equal distance from previous prime (34499) and next prime (34501).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (34501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1489 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

2³⁴⁵⁰⁰ is an apocalyptic number.

34500 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 34500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416).

34500 is an abundant number, since it is smaller than the sum of its proper divisors (70332).

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

34500 is a wasteful number, since it uses less digits than its factorization.

34500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 33 counting only the distinct ones).

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

The square root of 34500 is about 185.7417562101. The cubic root of 34500 is about 32.5541503576.

34500 divided by its product of nonzero digits (60) gives a palindrome (575).

The spelling of 34500 in words is "thirty-four thousand, five hundred".