34530000 has 100 divisors (see below), whose sum is σ = 111564288. Its totient is φ = 9200000.

The previous prime is 34529993. The next prime is 34530017. The reversal of 34530000 is 3543.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29425 + ... + 30575.

Almost surely, 2^34530000 is an apocalyptic number.

34530000 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 34530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55782144).

34530000 is an abundant number, since it is smaller than the sum of its proper divisors (77034288).

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

34530000 is a wasteful number, since it uses less digits than its factorization.

34530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 34530000 is about 5876.2232769016. The cubic root of 34530000 is about 325.6358360950.

Adding to 34530000 its reverse (3543), we get a palindrome (34533543).

The spelling of 34530000 in words is "thirty-four million, five hundred thirty thousand".