34834144 has 96 divisors (see below), whose sum is σ = 78382080. Its totient is φ = 15155712.

The previous prime is 34834127. The next prime is 34834147. The reversal of 34834144 is 44143843.

Its product of digits (18432) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34834147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657222 + ... + 657274.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 2^34834144 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 34834144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39191040).

34834144 is an abundant number, since it is smaller than the sum of its proper divisors (43547936).

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

34834144 is a wasteful number, since it uses less digits than its factorization.

34834144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

The square root of 34834144 is about 5902.0457470270. The cubic root of 34834144 is about 326.5891213038.

Adding to 34834144 its reverse (44143843), we get a palindrome (78977987).

The spelling of 34834144 in words is "thirty-four million, eight hundred thirty-four thousand, one hundred forty-four".