395944077312 has 384 divisors, whose sum is σ = 1344470400000. Its totient is φ = 112786587648.

The previous prime is 395944077311. The next prime is 395944077329. The reversal of 395944077312 is 213770449593.

395944077312 is a `hidden beast` number, since 3 + 9 + 594 + 40 + 7 + 7 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (395944077311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146698939 + ... + 146701637.

It is an arithmetic number, because the mean of its divisors is an integer number (3501225000).

Almost surely, 2^395944077312 is an apocalyptic number.

395944077312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395944077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672235200000).

395944077312 is an abundant number, since it is smaller than the sum of its proper divisors (948526322688).

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

395944077312 is a wasteful number, since it uses less digits than its factorization.

395944077312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 395944077312 in words is "three hundred ninety-five billion, nine hundred forty-four million, seventy-seven thousand, three hundred twelve".