395843712 has 128 divisors (see below), whose sum is σ = 1184440320. Its totient is φ = 116044800.

The previous prime is 395843689. The next prime is 395843713. The reversal of 395843712 is 217348593.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (395843713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129433 + ... + 132455.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 2^395843712 is an apocalyptic number.

395843712 is a gapful number since it is divisible by the number (32) 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 395843712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592220160).

395843712 is an abundant number, since it is smaller than the sum of its proper divisors (788596608).

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

395843712 is a wasteful number, since it uses less digits than its factorization.

395843712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3070 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 395843712 is about 19895.8214708516. The cubic root of 395843712 is about 734.2454267172.

The spelling of 395843712 in words is "three hundred ninety-five million, eight hundred forty-three thousand, seven hundred twelve".