34097664 has 80 divisors (see below), whose sum is σ = 92315520. Its totient is φ = 11182080.

The previous prime is 34097663. The next prime is 34097671. The reversal of 34097664 is 46679043.

It is not an unprimeable number, because it can be changed into a prime (34097663) 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 7 ways as a sum of consecutive naturals, for example, 121204 + ... + 121484.

It is an arithmetic number, because the mean of its divisors is an integer number (1153944).

Almost surely, 2^34097664 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 34097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46157760).

34097664 is an abundant number, since it is smaller than the sum of its proper divisors (58217856).

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

34097664 is an equidigital number, since it uses as much as digits as its factorization.

34097664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 34097664 is about 5839.3205084153. The cubic root of 34097664 is about 324.2710732511.

The spelling of 34097664 in words is "thirty-four million, ninety-seven thousand, six hundred sixty-four".