34266000 has 80 divisors (see below), whose sum is σ = 110492928. Its totient is φ = 9136000.

The previous prime is 34265993. The next prime is 34266017. The reversal of 34266000 is 66243.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 3145 + ... + 8855.

Almost surely, 2^34266000 is an apocalyptic number.

34266000 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 34266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55246464).

34266000 is an abundant number, since it is smaller than the sum of its proper divisors (76226928).

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

34266000 is a wasteful number, since it uses less digits than its factorization.

34266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 34266000 is about 5853.7167680030. The cubic root of 34266000 is about 324.8038263844.

The spelling of 34266000 in words is "thirty-four million, two hundred sixty-six thousand".