395130937344 has 448 divisors, whose sum is σ = 1280830803840. Its totient is φ = 106687365120.

The previous prime is 395130937273. The next prime is 395130937361. The reversal of 395130937344 is 443739031593.

It is a super-2 number, since 2×395130937344² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 101914734 + ... + 101918610.

It is an arithmetic number, because the mean of its divisors is an integer number (2858997330).

Almost surely, 2^395130937344 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 395130937344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640415401920).

395130937344 is an abundant number, since it is smaller than the sum of its proper divisors (885699866496).

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

395130937344 is a wasteful number, since it uses less digits than its factorization.

395130937344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 51.

The spelling of 395130937344 in words is "three hundred ninety-five billion, one hundred thirty million, nine hundred thirty-seven thousand, three hundred forty-four".