34410144 has 48 divisors (see below), whose sum is σ = 92044512. Its totient is φ = 11251968.

The previous prime is 34410133. The next prime is 34410169. The reversal of 34410144 is 44101443.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34410144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1707 + ... + 8469.

It is an arithmetic number, because the mean of its divisors is an integer number (1917594).

Almost surely, 2^34410144 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 34410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46022256).

34410144 is an abundant number, since it is smaller than the sum of its proper divisors (57634368).

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

34410144 is a wasteful number, since it uses less digits than its factorization.

34410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6829 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 34410144 is about 5866.0160245264. The cubic root of 34410144 is about 325.2586312106.

Adding to 34410144 its reverse (44101443), we get a palindrome (78511587).

The spelling of 34410144 in words is "thirty-four million, four hundred ten thousand, one hundred forty-four".