395662642320 has 320 divisors, whose sum is σ = 1362692782080. Its totient is φ = 94157107200.

The previous prime is 395662642279. The next prime is 395662642327. The reversal of 395662642320 is 23246266593.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 395662642320.

It is not an unprimeable number, because it can be changed into a prime (395662642327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145945765 + ... + 145948475.

It is an arithmetic number, because the mean of its divisors is an integer number (4258414944).

Almost surely, 2^395662642320 is an apocalyptic number.

395662642320 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 395662642320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681346391040).

395662642320 is an abundant number, since it is smaller than the sum of its proper divisors (967030139760).

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

395662642320 is a wasteful number, since it uses less digits than its factorization.

395662642320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 395662642320 in words is "three hundred ninety-five billion, six hundred sixty-two million, six hundred forty-two thousand, three hundred twenty".