39329664 has 64 divisors (see below), whose sum is σ = 113978880. Its totient is φ = 11916800.

The previous prime is 39329659. The next prime is 39329681. The reversal of 39329664 is 46692393.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 432 + ... + 8879.

It is an arithmetic number, because the mean of its divisors is an integer number (1780920).

Almost surely, 2^39329664 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 39329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56989440).

39329664 is an abundant number, since it is smaller than the sum of its proper divisors (74649216).

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

39329664 is a wasteful number, since it uses less digits than its factorization.

39329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9339 (or 9327 counting only the distinct ones).

The product of its digits is 209952, while the sum is 42.

The square root of 39329664 is about 6271.3366996199. The cubic root of 39329664 is about 340.0739862058.

It can be divided in two parts, 39329 and 664, that added together give a palindrome (39993).

The spelling of 39329664 in words is "thirty-nine million, three hundred twenty-nine thousand, six hundred sixty-four".