395968394577000 has 512 divisors, whose sum is σ = 1443650160476160. Its totient is φ = 88490217600000.

The previous prime is 395968394576947. The next prime is 395968394577023. The reversal of 395968394577000 is 775493869593.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213001525 + ... + 214852475.

It is an arithmetic number, because the mean of its divisors is an integer number (2819629219680).

Almost surely, 2^{395968394577000} is an apocalyptic number.

395968394577000 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 395968394577000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721825080238080).

395968394577000 is an abundant number, since it is smaller than the sum of its proper divisors (1047681765899160).

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

395968394577000 is a wasteful number, since it uses less digits than its factorization.

395968394577000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851210 (or 1851196 counting only the distinct ones).

The product of its (nonzero) digits is 1543147200, while the sum is 75.

The spelling of 395968394577000 in words is "three hundred ninety-five trillion, nine hundred sixty-eight billion, three hundred ninety-four million, five hundred seventy-seven thousand".