34012860 has 144 divisors (see below), whose sum is σ = 115831296. Its totient is φ = 7421568.

The previous prime is 34012829. The next prime is 34012889. The reversal of 34012860 is 6821043.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34012860.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67369 + ... + 67871.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 2^34012860 is an apocalyptic number.

34012860 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 34012860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915648).

34012860 is an abundant number, since it is smaller than the sum of its proper divisors (81818436).

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

34012860 is a wasteful number, since it uses less digits than its factorization.

34012860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 34012860 is about 5832.0545264941. The cubic root of 34012860 is about 324.0020194966.

The spelling of 34012860 in words is "thirty-four million, twelve thousand, eight hundred sixty".