395736613776 has 135 divisors (see below), whose sum is σ = 1288503367281. Its totient is φ = 113052506112.

The previous prime is 395736613759. The next prime is 395736613787. The reversal of 395736613776 is 677316637593.

The square root of 395736613776 is 629076.

It is a perfect power (a square), and thus also a powerful number.

395736613776 is a `hidden beast` number, since 3 + 9 + 5 + 7 + 3 + 6 + 613 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 199026623376 + 196709990400 = 446124^2 + 443520^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52838640 + ... + 52846128.

Almost surely, 2^395736613776 is an apocalyptic number.

395736613776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

395736613776 is the 629076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395736613776

395736613776 is an abundant number, since it is smaller than the sum of its proper divisors (892766753505).

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

395736613776 is an frugal number, since it uses more digits than its factorization.

395736613776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15006 (or 7501 counting only the distinct ones).

The product of its digits is 90016920, while the sum is 63.

The spelling of 395736613776 in words is "three hundred ninety-five billion, seven hundred thirty-six million, six hundred thirteen thousand, seven hundred seventy-six".