395395736900 has 18 divisors (see below), whose sum is σ = 858008749290. Its totient is φ = 158158294720.

The previous prime is 395395736867. The next prime is 395395736951. The reversal of 395395736900 is 9637593593.

It can be written as a sum of positive squares in 3 ways, for example, as 32526843904 + 362868892996 = 180352^2 + 602386^2 .

It is a super-2 number, since 2×395395736900² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 395395736900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1976978585 + ... + 1976978784.

Almost surely, 2^395395736900 is an apocalyptic number.

It is an amenable number.

395395736900 is an abundant number, since it is smaller than the sum of its proper divisors (462613012390).

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

395395736900 is a wasteful number, since it uses less digits than its factorization.

395395736900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953957383 (or 3953957376 counting only the distinct ones).

The product of its (nonzero) digits is 20667150, while the sum is 59.

The spelling of 395395736900 in words is "three hundred ninety-five billion, three hundred ninety-five million, seven hundred thirty-six thousand, nine hundred".