34842144 has 48 divisors (see below), whose sum is σ = 92842848. Its totient is φ = 11438592.

The previous prime is 34842133. The next prime is 34842151. The reversal of 34842144 is 44124843.

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

It is a nude number because it is divisible by every one of its digits.

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, 3724 + ... + 9140.

It is an arithmetic number, because the mean of its divisors is an integer number (1934226).

Almost surely, 2^34842144 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 34842144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46421424).

34842144 is an abundant number, since it is smaller than the sum of its proper divisors (58000704).

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

34842144 is a wasteful number, since it uses less digits than its factorization.

34842144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497 (or 5489 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 34842144 is about 5902.7234392270. The cubic root of 34842144 is about 326.6141208462.

Adding to 34842144 its reverse (44124843), we get a palindrome (78966987).

The spelling of 34842144 in words is "thirty-four million, eight hundred forty-two thousand, one hundred forty-four".