34286500 has 48 divisors (see below), whose sum is σ = 76527360. Its totient is φ = 13413600.

The previous prime is 34286479. The next prime is 34286503. The reversal of 34286500 is 568243.

34286500 = 831² + 832² + ... + 877².

It is not an unprimeable number, because it can be changed into a prime (34286503) by changing a digit.

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, 22771 + ... + 24229.

It is an arithmetic number, because the mean of its divisors is an integer number (1594320).

Almost surely, 2^34286500 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 34286500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38263680).

34286500 is an abundant number, since it is smaller than the sum of its proper divisors (42240860).

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

34286500 is a wasteful number, since it uses less digits than its factorization.

34286500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 34286500 is about 5855.4675304368. The cubic root of 34286500 is about 324.8685859230.

The spelling of 34286500 in words is "thirty-four million, two hundred eighty-six thousand, five hundred".