34153344 has 96 divisors (see below), whose sum is σ = 102632400. Its totient is φ = 10881024.

The previous prime is 34153313. The next prime is 34153363. The reversal of 34153344 is 44335143.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 25852 + ... + 27140.

Almost surely, 2^34153344 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 34153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51316200).

34153344 is an abundant number, since it is smaller than the sum of its proper divisors (68479056).

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

34153344 is a wasteful number, since it uses less digits than its factorization.

34153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1317 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 34153344 is about 5844.0862416634. The cubic root of 34153344 is about 324.4474841079.

Adding to 34153344 its reverse (44335143), we get a palindrome (78488487).

The spelling of 34153344 in words is "thirty-four million, one hundred fifty-three thousand, three hundred forty-four".