34146336 has 192 divisors, whose sum is σ = 112492800. Its totient is φ = 9031680.

The previous prime is 34146331. The next prime is 34146337. The reversal of 34146336 is 63364143.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34146331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559746 + ... + 559806.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^34146336 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 34146336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

34146336 is an abundant number, since it is smaller than the sum of its proper divisors (78346464).

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

34146336 is a wasteful number, since it uses less digits than its factorization.

34146336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 34146336 is about 5843.4866304288. The cubic root of 34146336 is about 324.4252912249.

The spelling of 34146336 in words is "thirty-four million, one hundred forty-six thousand, three hundred thirty-six".