39395664 has 360 divisors, whose sum is σ = 154365120. Its totient is φ = 9123840.

The previous prime is 39395663. The next prime is 39395669. The reversal of 39395664 is 46659393.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39395663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2073447 + ... + 2073465.

It is an arithmetic number, because the mean of its divisors is an integer number (428792).

Almost surely, 2^39395664 is an apocalyptic number.

39395664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39395664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77182560).

39395664 is an abundant number, since it is smaller than the sum of its proper divisors (114969456).

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

39395664 is a wasteful number, since it uses less digits than its factorization.

39395664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 39395664 is about 6276.5965299675. The cubic root of 39395664 is about 340.2641085156.

The spelling of 39395664 in words is "thirty-nine million, three hundred ninety-five thousand, six hundred sixty-four".