395872736 has 96 divisors (see below), whose sum is σ = 929880000. Its totient is φ = 162312192.

The previous prime is 395872723. The next prime is 395872739. The reversal of 395872736 is 637278593.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395872739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 967700 + ... + 968108.

It is an arithmetic number, because the mean of its divisors is an integer number (9686250).

Almost surely, 2^395872736 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 395872736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464940000).

395872736 is an abundant number, since it is smaller than the sum of its proper divisors (534007264).

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

395872736 is a wasteful number, since it uses less digits than its factorization.

395872736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 596 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 50.

The square root of 395872736 is about 19896.5508568696. The cubic root of 395872736 is about 734.2633716938.

The spelling of 395872736 in words is "three hundred ninety-five million, eight hundred seventy-two thousand, seven hundred thirty-six".