395746971984 has 360 divisors, whose sum is σ = 1390521000960. Its totient is φ = 104143366656.

The previous prime is 395746971967. The next prime is 395746972003. The reversal of 395746971984 is 489179647593.

395746971984 is a `hidden beast` number, since 3 + 9 + 5 + 7 + 469 + 71 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43933209 + ... + 43942215.

It is an arithmetic number, because the mean of its divisors is an integer number (3862558336).

Almost surely, 2^395746971984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395746971984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695260500480).

395746971984 is an abundant number, since it is smaller than the sum of its proper divisors (994774028976).

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

395746971984 is a wasteful number, since it uses less digits than its factorization.

395746971984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9527 (or 9511 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

It can be divided in two parts, 39574697 and 1984, that added together give a square (39576681 = 6291²).

The spelling of 395746971984 in words is "three hundred ninety-five billion, seven hundred forty-six million, nine hundred seventy-one thousand, nine hundred eighty-four".