395168340 has 144 divisors (see below), whose sum is σ = 1294598592. Its totient is φ = 89800704.

The previous prime is 395168329. The next prime is 395168353. The reversal of 395168340 is 43861593.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 755319 + ... + 755841.

It is an arithmetic number, because the mean of its divisors is an integer number (8990268).

Almost surely, 2^395168340 is an apocalyptic number.

395168340 is a gapful number since it is divisible by the number (30) 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 395168340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647299296).

395168340 is an abundant number, since it is smaller than the sum of its proper divisors (899430252).

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

395168340 is a wasteful number, since it uses less digits than its factorization.

395168340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 395168340 is about 19878.8415155411. The cubic root of 395168340 is about 733.8276093847.

The spelling of 395168340 in words is "three hundred ninety-five million, one hundred sixty-eight thousand, three hundred forty".