34681344 has 80 divisors (see below), whose sum is σ = 94050528. Its totient is φ = 11354112.

The previous prime is 34681319. The next prime is 34681357. The reversal of 34681344 is 44318643.

It is a happy number.

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, 102744 + ... + 103080.

Almost surely, 2^34681344 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 34681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47025264).

34681344 is an abundant number, since it is smaller than the sum of its proper divisors (59369184).

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

34681344 is an equidigital number, since it uses as much as digits as its factorization.

34681344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 34681344 is about 5889.0868562112. The cubic root of 34681344 is about 326.1108935595.

Adding to 34681344 its reverse (44318643), we get a palindrome (78999987).

The spelling of 34681344 in words is "thirty-four million, six hundred eighty-one thousand, three hundred forty-four".