34144110 has 192 divisors, whose sum is σ = 119508480. Its totient is φ = 6531840.

The previous prime is 34144093. The next prime is 34144151. The reversal of 34144110 is 1144143.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 89901 + ... + 90279.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 2^34144110 is an apocalyptic number.

34144110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34144110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

34144110 is an abundant number, since it is smaller than the sum of its proper divisors (85364370).

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

34144110 is a wasteful number, since it uses less digits than its factorization.

34144110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 34144110 is about 5843.2961588473. The cubic root of 34144110 is about 324.4182413090.

Adding to 34144110 its reverse (1144143), we get a palindrome (35288253).

The spelling of 34144110 in words is "thirty-four million, one hundred forty-four thousand, one hundred ten".