34066500 has 96 divisors (see below), whose sum is σ = 106893696. Its totient is φ = 8380800.

The previous prime is 34066499. The next prime is 34066507. The reversal of 34066500 is 566043.

It is not an unprimeable number, because it can be changed into a prime (34066507) 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, 18627 + ... + 20373.

It is an arithmetic number, because the mean of its divisors is an integer number (1113476).

Almost surely, 2^34066500 is an apocalyptic number.

34066500 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 34066500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53446848).

34066500 is an abundant number, since it is smaller than the sum of its proper divisors (72827196).

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

34066500 is a wasteful number, since it uses less digits than its factorization.

34066500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 34066500 is about 5836.6514372541. The cubic root of 34066500 is about 324.1722525616.

The spelling of 34066500 in words is "thirty-four million, sixty-six thousand, five hundred".