34286868 has 288 divisors, whose sum is σ = 122572800. Its totient is φ = 8164800.

The previous prime is 34286843. The next prime is 34286873. The reversal of 34286868 is 86868243.

34286868 = T₂₆₇ + T₂₆₈ + ... + T₆₀₇.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1106013 + ... + 1106043.

It is an arithmetic number, because the mean of its divisors is an integer number (425600).

Almost surely, 2^34286868 is an apocalyptic number.

34286868 is a gapful number since it is divisible by the number (38) 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 34286868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61286400).

34286868 is an abundant number, since it is smaller than the sum of its proper divisors (88285932).

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

34286868 is a wasteful number, since it uses less digits than its factorization.

34286868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 34286868 is about 5855.4989539748. The cubic root of 34286868 is about 324.8697481998.

It can be divided in two parts, 3428 and 6868, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 34286868 in words is "thirty-four million, two hundred eighty-six thousand, eight hundred sixty-eight".