395260671978 has 192 divisors, whose sum is σ = 928893588480. Its totient is φ = 121096684800.

The previous prime is 395260671919. The next prime is 395260671979. The reversal of 395260671978 is 879176062593.

395260671978 is a `hidden beast` number, since 3 + 9 + 5 + 2 + 606 + 7 + 19 + 7 + 8 = 666.

It is a super-2 number, since 2×395260671978² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (395260671979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 435788601 + ... + 435789507.

It is an arithmetic number, because the mean of its divisors is an integer number (4837987440).

Almost surely, 2^395260671978 is an apocalyptic number.

395260671978 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 395260671978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464446794240).

395260671978 is an abundant number, since it is smaller than the sum of its proper divisors (533632916502).

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

395260671978 is a wasteful number, since it uses less digits than its factorization.

395260671978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 395260671978 in words is "three hundred ninety-five billion, two hundred sixty million, six hundred seventy-one thousand, nine hundred seventy-eight".