395726548624 has 225 divisors, whose sum is σ = 927221828701. Its totient is φ = 163457029120.

The previous prime is 395726548619. The next prime is 395726548649. The reversal of 395726548624 is 426845627593.

It is a happy number.

The square root of 395726548624 is 629068.

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

It can be written as a sum of positive squares in 7 ways, for example, as 72156704400 + 323569844224 = 268620^2 + 568832^2 .

It is a Duffinian number.

Its product of digits (87091200) is a multiple of the sum of its prime factors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13645743042 + ... + 13645743070.

Almost surely, 2^395726548624 is an apocalyptic number.

395726548624 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

395726548624 is the 629068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395726548624

395726548624 is an abundant number, since it is smaller than the sum of its proper divisors (531495280077).

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

395726548624 is an frugal number, since it uses more digits than its factorization.

395726548624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 59 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 61.

The spelling of 395726548624 in words is "three hundred ninety-five billion, seven hundred twenty-six million, five hundred forty-eight thousand, six hundred twenty-four".