34337664 has 96 divisors (see below), whose sum is σ = 101359440. Its totient is φ = 11151360.

The previous prime is 34337663. The next prime is 34337707. The reversal of 34337664 is 46673343.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34337663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46869 + ... + 47595.

Almost surely, 2^34337664 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 34337664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50679720).

34337664 is an abundant number, since it is smaller than the sum of its proper divisors (67021776).

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

34337664 is a wasteful number, since it uses less digits than its factorization.

34337664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 773 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The square root of 34337664 is about 5859.8348099584. The cubic root of 34337664 is about 325.0301005651.

The spelling of 34337664 in words is "thirty-four million, three hundred thirty-seven thousand, six hundred sixty-four".