395820672 has 128 divisors (see below), whose sum is σ = 1163420160. Its totient is φ = 118444032.

The previous prime is 395820661. The next prime is 395820697. The reversal of 395820672 is 276028593.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183633 + ... + 185775.

It is an arithmetic number, because the mean of its divisors is an integer number (9089220).

Almost surely, 2^395820672 is an apocalyptic number.

395820672 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 395820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581710080).

395820672 is an abundant number, since it is smaller than the sum of its proper divisors (767599488).

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

395820672 is a wasteful number, since it uses less digits than its factorization.

395820672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2198 counting only the distinct ones).

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

The square root of 395820672 is about 19895.2424463740. The cubic root of 395820672 is about 734.2311809073.

The spelling of 395820672 in words is "three hundred ninety-five million, eight hundred twenty thousand, six hundred seventy-two".