395115336000 has 2688 divisors, whose sum is σ = 1930557358080. Its totient is φ = 75271680000.

The previous prime is 395115335941. The next prime is 395115336001. The reversal of 395115336000 is 633511593.

395115336000 is a `hidden beast` number, since 3 + 9 + 5 + 1 + 15 + 33 + 600 + 0 = 666.

It is a super-2 number, since 2×395115336000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395115336001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12745655985 + ... + 12745656015.

Almost surely, 2^395115336000 is an apocalyptic number.

395115336000 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 395115336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965278679040).

395115336000 is an abundant number, since it is smaller than the sum of its proper divisors (1535442022080).

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

395115336000 is a wasteful number, since it uses less digits than its factorization.

395115336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

Adding to 395115336000 its reverse (633511593), we get a palindrome (395748847593).

The spelling of 395115336000 in words is "three hundred ninety-five billion, one hundred fifteen million, three hundred thirty-six thousand".