34000500 has 96 divisors (see below), whose sum is σ = 104307840. Its totient is φ = 8582400.

The previous prime is 34000453. The next prime is 34000501. The reversal of 34000500 is 500043.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27904 + ... + 29096.

It is an arithmetic number, because the mean of its divisors is an integer number (1086540).

Almost surely, 2^34000500 is an apocalyptic number.

34000500 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 34000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52153920).

34000500 is an abundant number, since it is smaller than the sum of its proper divisors (70307340).

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

34000500 is a wasteful number, since it uses less digits than its factorization.

34000500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1222 counting only the distinct ones).

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

The square root of 34000500 is about 5830.9947693340. The cubic root of 34000500 is about 323.9627681650.

Adding to 34000500 its reverse (500043), we get a palindrome (34500543).

The spelling of 34000500 in words is "thirty-four million, five hundred", and thus it is an aban number.