34009664 has 56 divisors (see below), whose sum is σ = 74526648. Its totient is φ = 15298560.

The previous prime is 34009649. The next prime is 34009693. The reversal of 34009664 is 46690043.

It can be written as a sum of positive squares in 4 ways, for example, as 462400 + 33547264 = 680^2 + 5792^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 34009664.

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, 33614 + ... + 34610.

It is an arithmetic number, because the mean of its divisors is an integer number (1330833).

Almost surely, 2^34009664 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 34009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37263324).

34009664 is an abundant number, since it is smaller than the sum of its proper divisors (40516984).

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

34009664 is a wasteful number, since it uses less digits than its factorization.

34009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 34009664 is about 5831.7805171320. The cubic root of 34009664 is about 323.9918709539.

The spelling of 34009664 in words is "thirty-four million, nine thousand, six hundred sixty-four".