34000640 has 72 divisors (see below), whose sum is σ = 82561248. Its totient is φ = 13414400.

The previous prime is 34000639. The next prime is 34000643. The reversal of 34000640 is 4600043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129149 + ... + 129411.

It is an arithmetic number, because the mean of its divisors is an integer number (1146684).

Almost surely, 2^34000640 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 34000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41280624).

34000640 is an abundant number, since it is smaller than the sum of its proper divisors (48560608).

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

34000640 is a wasteful number, since it uses less digits than its factorization.

34000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 34000640 is about 5831.0067741343. The cubic root of 34000640 is about 323.9632128126.

Adding to 34000640 its reverse (4600043), we get a palindrome (38600683).

The spelling of 34000640 in words is "thirty-four million, six hundred forty", and thus it is an aban number.