34506000 has 240 divisors, whose sum is σ = 126741888. Its totient is φ = 9072000.

The previous prime is 34505993. The next prime is 34506011. The reversal of 34506000 is 60543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485965 + ... + 486035.

Almost surely, 2^34506000 is an apocalyptic number.

34506000 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 34506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63370944).

34506000 is an abundant number, since it is smaller than the sum of its proper divisors (92235888).

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

34506000 is an equidigital number, since it uses as much as digits as its factorization.

34506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34506000 is about 5874.1807939491. The cubic root of 34506000 is about 325.5603744536.

Adding to 34506000 its reverse (60543), we get a palindrome (34566543).

The spelling of 34506000 in words is "thirty-four million, five hundred six thousand".