34313664 has 168 divisors, whose sum is σ = 114588544. Its totient is φ = 8870400.

The previous prime is 34313651. The next prime is 34313681. The reversal of 34313664 is 46631343.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162519 + ... + 162729.

Almost surely, 2^34313664 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 34313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57294272).

34313664 is an abundant number, since it is smaller than the sum of its proper divisors (80274880).

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

34313664 is a wasteful number, since it uses less digits than its factorization.

34313664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 34313664 is about 5857.7866127062. The cubic root of 34313664 is about 324.9543572984.

The spelling of 34313664 in words is "thirty-four million, three hundred thirteen thousand, six hundred sixty-four".