34286000 has 160 divisors (see below), whose sum is σ = 99041280. Its totient is φ = 11232000.

The previous prime is 34285987. The next prime is 34286003. The reversal of 34286000 is 68243.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34286003) 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, 433961 + ... + 434039.

It is an arithmetic number, because the mean of its divisors is an integer number (619008).

Almost surely, 2^34286000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49520640).

34286000 is an abundant number, since it is smaller than the sum of its proper divisors (64755280).

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

34286000 is a wasteful number, since it uses less digits than its factorization.

34286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 34286000 is about 5855.4248351422. The cubic root of 34286000 is about 324.8670067292.

The spelling of 34286000 in words is "thirty-four million, two hundred eighty-six thousand".