34822144 has 72 divisors (see below), whose sum is σ = 81228420. Its totient is φ = 14880768.

The previous prime is 34822091. The next prime is 34822147. The reversal of 34822144 is 44122843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34822147) 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 5 ways as a sum of consecutive naturals, for example, 100179 + ... + 100525.

Almost surely, 2^34822144 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 34822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40614210).

34822144 is an abundant number, since it is smaller than the sum of its proper divisors (46406276).

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

34822144 is an equidigital number, since it uses as much as digits as its factorization.

34822144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 356 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 34822144 is about 5901.0290627991. The cubic root of 34822144 is about 326.5516148123.

Adding to 34822144 its reverse (44122843), we get a palindrome (78944987).

The spelling of 34822144 in words is "thirty-four million, eight hundred twenty-two thousand, one hundred forty-four".