34040064 has 72 divisors (see below), whose sum is σ = 91571200. Its totient is φ = 11225088.

The previous prime is 34040057. The next prime is 34040099. The reversal of 34040064 is 46004043.

It is a self number, because there is not a number n which added to its sum of digits gives 34040064.

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, 97362 + ... + 97710.

Almost surely, 2^34040064 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 34040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45785600).

34040064 is an abundant number, since it is smaller than the sum of its proper divisors (57531136).

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

34040064 is a wasteful number, since it uses less digits than its factorization.

34040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34040064 is about 5834.3863430527. The cubic root of 34040064 is about 324.0883770497.

It can be divided in two parts, 340 and 40064, that added together give a palindrome (40404).

The spelling of 34040064 in words is "thirty-four million, forty thousand, sixty-four", and thus it is an eban number.