395337630672 has 240 divisors, whose sum is σ = 1149971397120. Its totient is φ = 126719016192.

The previous prime is 395337630671. The next prime is 395337630691. The reversal of 395337630672 is 276036733593.

395337630672 is a `hidden beast` number, since 3 + 9 + 533 + 7 + 6 + 30 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395337630671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72629583 + ... + 72635025.

It is an arithmetic number, because the mean of its divisors is an integer number (4791547488).

Almost surely, 2^395337630672 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 395337630672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574985698560).

395337630672 is an abundant number, since it is smaller than the sum of its proper divisors (754633766448).

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

395337630672 is a wasteful number, since it uses less digits than its factorization.

395337630672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 54.

The spelling of 395337630672 in words is "three hundred ninety-five billion, three hundred thirty-seven million, six hundred thirty thousand, six hundred seventy-two".