395746889287680 has 4752 divisors, whose sum is σ = 1795932207948060. Its totient is φ = 83379470598144.

The previous prime is 395746889287657. The next prime is 395746889287703. The reversal of 395746889287680 is 86782988647593.

395746889287680 is a `hidden beast` number, since 3 + 9 + 5 + 7 + 468 + 8 + 9 + 2 + 87 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (395746889287657) and next prime (395746889287703).

It can be written as a sum of positive squares in 2 ways, for example, as 386120613602304 + 9626275685376 = 19649952^2 + 3102624^2 .

It is a super-2 number, since 2×395746889287680² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 395 ways as a sum of consecutive naturals, for example, 10695861872622 + ... + 10695861872658.

Almost surely, 2^{395746889287680} is an apocalyptic number.

395746889287680 is a gapful number since it is divisible by the number (30) 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 395746889287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897966103974030).

395746889287680 is an abundant number, since it is smaller than the sum of its proper divisors (1400185318660380).

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

395746889287680 is an frugal number, since it uses more digits than its factorization.

395746889287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 70230343680, while the sum is 90.

The spelling of 395746889287680 in words is "three hundred ninety-five trillion, seven hundred forty-six billion, eight hundred eighty-nine million, two hundred eighty-seven thousand, six hundred eighty".