34194944 has 120 divisors (see below), whose sum is σ = 83967840. Its totient is φ = 13848576.

The previous prime is 34194929. The next prime is 34194947. The reversal of 34194944 is 44949143.

It is a happy number.

Its product of digits (62208) is a multiple of the sum of its prime factors (108).

It is a junction number, because it is equal to n+sod(n) for n = 34194898 and 34194907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34194947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727529 + ... + 727575.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 2^34194944 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 34194944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41983920).

34194944 is an abundant number, since it is smaller than the sum of its proper divisors (49772896).

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

34194944 is an equidigital number, since it uses as much as digits as its factorization.

34194944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 85 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 34194944 is about 5847.6443120286. The cubic root of 34194944 is about 324.5791602243.

The spelling of 34194944 in words is "thirty-four million, one hundred ninety-four thousand, nine hundred forty-four".